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151154140 = 225173114341
BaseRepresentation
bin10010000001001…
…10110111011100
3101112102102111111
421000212313130
5302143413030
622555431404
73513534424
oct1100466734
9345372444
10151154140
1178360385
1242755564
1325414327
1416109484
15d40b62a
hex9026ddc

151154140 has 48 divisors (see below), whose sum is σ = 346961664. Its totient is φ = 55065600.

The previous prime is 151154131. The next prime is 151154149. The reversal of 151154140 is 41451151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151154131) and next prime (151154149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151154149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3370 + ... + 17710.

It is an arithmetic number, because the mean of its divisors is an integer number (7228368).

Almost surely, 2151154140 is an apocalyptic number.

151154140 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 151154140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173480832).

151154140 is an abundant number, since it is smaller than the sum of its proper divisors (195807524).

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

151154140 is a wasteful number, since it uses less digits than its factorization.

151154140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14398 (or 14396 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 151154140 is about 12294.4759953403. The cubic root of 151154140 is about 532.6885341209.

The spelling of 151154140 in words is "one hundred fifty-one million, one hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 10540 14341 28682 57364 71705 143410 243797 286820 444571 487594 889142 975188 1218985 1778284 2222855 2437970 4445710 4875940 7557707 8891420 15115414 30230828 37788535 75577070 151154140