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151981728 = 2536723629
BaseRepresentation
bin10010000111100…
…00111010100000
3101120222110201220
421003300322200
5302401403403
623025255040
73523552263
oct1103607240
9346873656
10151981728
1178876138
1242a94480
1325643c22
1416282cda
15d521953
hex90f0ea0

151981728 has 48 divisors (see below), whose sum is σ = 404923680. Its totient is φ = 49902336.

The previous prime is 151981727. The next prime is 151981729. The reversal of 151981728 is 827189151.

It is an interprime number because it is at equal distance from previous prime (151981727) and next prime (151981729).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 151981728.

It is not an unprimeable number, because it can be changed into a prime (151981727) 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, 5383 + ... + 18246.

It is an arithmetic number, because the mean of its divisors is an integer number (8435910).

Almost surely, 2151981728 is an apocalyptic number.

It is an amenable number.

151981728 is an abundant number, since it is smaller than the sum of its proper divisors (252941952).

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

151981728 is a wasteful number, since it uses less digits than its factorization.

151981728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23709 (or 23701 counting only the distinct ones).

The product of its digits is 40320, while the sum is 42.

The square root of 151981728 is about 12328.0869562151. The cubic root of 151981728 is about 533.6589442230.

The spelling of 151981728 in words is "one hundred fifty-one million, nine hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 23629 47258 70887 94516 141774 189032 283548 378064 567096 756128 1134192 1583143 2268384 3166286 4749429 6332572 9498858 12665144 18997716 25330288 37995432 50660576 75990864 151981728