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1320695640 = 2332511230319
BaseRepresentation
bin100111010111000…
…0011011101011000
310102001010021211100
41032232003131120
510201044230030
6335015031400
744504504415
oct11656033530
93361107740
101320695640
11618553200
1230a36b560
13180802c14
14c758b10c
157ae2c360
hex4eb83758

1320695640 has 144 divisors (see below), whose sum is σ = 4718095200. Its totient is φ = 320158080.

The previous prime is 1320695617. The next prime is 1320695657. The reversal of 1320695640 is 465960231.

It is a happy number.

1320695640 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 6 + 9 + 5 + 640 = 666.

1320695640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1320695595 and 1320695604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28401 + ... + 58719.

It is an arithmetic number, because the mean of its divisors is an integer number (32764550).

Almost surely, 21320695640 is an apocalyptic number.

1320695640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320695640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359047600).

1320695640 is an abundant number, since it is smaller than the sum of its proper divisors (3397399560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1320695640 is a wasteful number, since it uses less digits than its factorization.

1320695640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30358 (or 30340 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1320695640 is about 36341.3764186223. The cubic root of 1320695640 is about 1097.1539761824.

The spelling of 1320695640 in words is "one billion, three hundred twenty million, six hundred ninety-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 30319 43560 60638 90957 121276 151595 181914 242552 272871 303190 333509 363828 454785 545742 606380 667018 727656 909570 1000527 1091484 1212760 1334036 1364355 1667545 1819140 2001054 2182968 2668072 2728710 3001581 3335090 3638280 3668599 4002108 5002635 5457420 6003162 6670180 7337198 8004216 10005270 10914840 11005797 12006324 13340360 14674396 15007905 18342995 20010540 22011594 24012648 29348792 30015810 33017391 36685990 40021080 44023188 55028985 60031620 66034782 73371980 88046376 110057970 120063240 132069564 146743960 165086955 220115940 264139128 330173910 440231880 660347820 1320695640