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151680416 = 2514233331
BaseRepresentation
bin10010000101001…
…11010110100000
3101120102011102012
421002213112200
5302312233131
623015012052
73521155646
oct1102472640
9346364365
10151680416
117868a818
124296a028
1325569a34
1416205196
15d4b252b
hex90a75a0

151680416 has 24 divisors (see below), whose sum is σ = 298920384. Its totient is φ = 75764160.

The previous prime is 151680407. The next prime is 151680449. The reversal of 151680416 is 614086151.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 43871 + ... + 47201.

It is an arithmetic number, because the mean of its divisors is an integer number (12455016).

Almost surely, 2151680416 is an apocalyptic number.

151680416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

151680416 is a deficient number, since it is larger than the sum of its proper divisors (147239968).

151680416 is a wasteful number, since it uses less digits than its factorization.

151680416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 151680416 is about 12315.8603434758. The cubic root of 151680416 is about 533.3060416590.

The spelling of 151680416 in words is "one hundred fifty-one million, six hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 1423 2846 3331 5692 6662 11384 13324 22768 26648 45536 53296 106592 4740013 9480026 18960052 37920104 75840208 151680416