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141057936 = 2434313511
BaseRepresentation
bin10000110100001…
…01111110010000
3100211102111010000
420122011332100
5242102323221
621555210000
73331654425
oct1032057620
9324374100
10141057936
1172694a08
123b2a6900
13232baa46
1414a3bd4c
15c5b4e26
hex8685f90

141057936 has 100 divisors (see below), whose sum is σ = 421552384. Its totient is φ = 45489600.

The previous prime is 141057899. The next prime is 141057937. The reversal of 141057936 is 639750141.

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

It is a self number, because there is not a number n which added to its sum of digits gives 141057936.

It is not an unprimeable number, because it can be changed into a prime (141057937) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38421 + ... + 41931.

Almost surely, 2141057936 is an apocalyptic number.

141057936 is a gapful number since it is divisible by the number (16) 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 141057936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210776192).

141057936 is an abundant number, since it is smaller than the sum of its proper divisors (280494448).

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

141057936 is a wasteful number, since it uses less digits than its factorization.

141057936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 141057936 is about 11876.7813821759. The cubic root of 141057936 is about 520.5540642627.

The spelling of 141057936 in words is "one hundred forty-one million, fifty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 558 648 744 837 1116 1296 1488 1674 2232 2511 3348 3511 4464 5022 6696 7022 10044 10533 13392 14044 20088 21066 28088 31599 40176 42132 56176 63198 84264 94797 108841 126396 168528 189594 217682 252792 284391 326523 379188 435364 505584 568782 653046 758376 870728 979569 1137564 1306092 1516752 1741456 1959138 2275128 2612184 2938707 3918276 4550256 5224368 5877414 7836552 8816121 11754828 15673104 17632242 23509656 35264484 47019312 70528968 141057936