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151834430 = 25112294327
BaseRepresentation
bin10010000110011…
…00111100111110
3101120200222200102
421003030330332
5302332200210
623022201102
73522366656
oct1103147476
9346628612
10151834430
1178785500
1242a23192
13255c1b77
1416245366
15d4e2ea5
hex90ccf3e

151834430 has 48 divisors (see below), whose sum is σ = 310836960. Its totient is φ = 53296320.

The previous prime is 151834399. The next prime is 151834433. The reversal of 151834430 is 34438151.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 151834393 and 151834402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151834433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32927 + ... + 37253.

It is an arithmetic number, because the mean of its divisors is an integer number (6475770).

Almost surely, 2151834430 is an apocalyptic number.

151834430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151834430 is an abundant number, since it is smaller than the sum of its proper divisors (159002530).

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

151834430 is a wasteful number, since it uses less digits than its factorization.

151834430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 151834430 is about 12322.1114262126. Note that the first 3 decimals coincide. The cubic root of 151834430 is about 533.4864842291.

The spelling of 151834430 in words is "one hundred fifty-one million, eight hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 29 55 58 110 121 145 242 290 319 605 638 1210 1595 3190 3509 4327 7018 8654 17545 21635 35090 43270 47597 95194 125483 237985 250966 475970 523567 627415 1047134 1254830 1380313 2617835 2760626 5235670 6901565 13803130 15183443 30366886 75917215 151834430