Search a number
-
+
1354555540 = 2251331414099
BaseRepresentation
bin101000010111100…
…1110000010010100
310111101211112212201
41100233032002110
510233231234130
6342224454244
745365350342
oct12057160224
93441745781
101354555540
1163567a698
1231977a384
13187829a70
14cbc82992
157ddb9bca
hex50bce094

1354555540 has 96 divisors (see below), whose sum is σ = 3240115200. Its totient is φ = 472089600.

The previous prime is 1354555523. The next prime is 1354555561. The reversal of 1354555540 is 455554531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1354555540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328411 + ... + 332509.

It is an arithmetic number, because the mean of its divisors is an integer number (33751200).

Almost surely, 21354555540 is an apocalyptic number.

1354555540 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 1354555540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620057600).

1354555540 is an abundant number, since it is smaller than the sum of its proper divisors (1885559660).

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

1354555540 is a wasteful number, since it uses less digits than its factorization.

1354555540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 37.

The square root of 1354555540 is about 36804.2869785573. The cubic root of 1354555540 is about 1106.4512207409.

The spelling of 1354555540 in words is "one billion, three hundred fifty-four million, five hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 41 52 62 65 82 124 130 155 164 205 260 310 403 410 533 620 806 820 1066 1271 1612 2015 2132 2542 2665 4030 4099 5084 5330 6355 8060 8198 10660 12710 16396 16523 20495 25420 33046 40990 53287 66092 81980 82615 106574 127069 165230 168059 213148 254138 266435 330460 336118 508276 532870 635345 672236 840295 1065740 1270690 1651897 1680590 2184767 2541380 3303794 3361180 4369534 5209829 6607588 8259485 8739068 10419658 10923835 16518970 20839316 21847670 26049145 33037940 43695340 52098290 67727777 104196580 135455554 270911108 338638885 677277770 1354555540