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151418440 = 23510934729
BaseRepresentation
bin10010000011001…
…11011001001000
3101112220212001101
421001213121020
5302230342230
623005231144
73516015115
oct1101473110
9345825041
10151418440
1178520a08
12428624b4
13254a7714
141617790c
15d45eaca
hex9067648

151418440 has 32 divisors (see below), whose sum is σ = 343827000. Its totient is φ = 60009984.

The previous prime is 151418413. The next prime is 151418441. The reversal of 151418440 is 44814151.

It can be written as a sum of positive squares in 4 ways, for example, as 89984196 + 61434244 = 9486^2 + 7838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 151418399 and 151418408.

It is not an unprimeable number, because it can be changed into a prime (151418441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13005 + ... + 21724.

Almost surely, 2151418440 is an apocalyptic number.

151418440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151418440 is an abundant number, since it is smaller than the sum of its proper divisors (192408560).

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

151418440 is a wasteful number, since it uses less digits than its factorization.

151418440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34849 (or 34845 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 151418440 is about 12305.2200305399. The cubic root of 151418440 is about 532.9988301762.

The spelling of 151418440 in words is "one hundred fifty-one million, four hundred eighteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 34729 69458 138916 173645 277832 347290 694580 1389160 3785461 7570922 15141844 18927305 30283688 37854610 75709220 151418440