Search a number
-
+
1320386022 = 23417895387
BaseRepresentation
bin100111010110011…
…0111110111100110
310102000112120010000
41032230313313212
510201004323042
6335004242130
744502044634
oct11654676746
93360476100
101320386022
1161836161a
1230a240346
13180725007
14c750a354
157adba74c
hex4eb37de6

1320386022 has 80 divisors (see below), whose sum is σ = 3168467280. Its totient is φ = 409508352.

The previous prime is 1320386003. The next prime is 1320386059. The reversal of 1320386022 is 2206830231.

1320386022 is a `hidden beast` number, since 1 + 3 + 20 + 38 + 602 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 242413 + ... + 247799.

It is an arithmetic number, because the mean of its divisors is an integer number (39605841).

Almost surely, 21320386022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320386022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584233640).

1320386022 is an abundant number, since it is smaller than the sum of its proper divisors (1848081258).

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

1320386022 is a wasteful number, since it uses less digits than its factorization.

1320386022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1320386022 is about 36337.1163137638. The cubic root of 1320386022 is about 1097.0682321854.

It can be divided in two parts, 13203 and 86022, that added together give a square (99225 = 3152).

The spelling of 1320386022 in words is "one billion, three hundred twenty million, three hundred eighty-six thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 89 102 153 162 178 267 306 459 534 801 918 1377 1513 1602 2403 2754 3026 4539 4806 5387 7209 9078 10774 13617 14418 16161 27234 32322 40851 48483 81702 91579 96966 122553 145449 183158 245106 274737 290898 436347 479443 549474 824211 872694 958886 1438329 1648422 2472633 2876658 4314987 4945266 7417899 8150531 8629974 12944961 14835798 16301062 24451593 25889922 38834883 48903186 73354779 77669766 146709558 220064337 440128674 660193011 1320386022