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152142672 = 243111931493
BaseRepresentation
bin10010001000110…
…00001101010000
3101121021122111210
421010120031100
5302422031142
623032540120
73525122433
oct1104301520
9347248453
10152142672
1178976050
1242b51640
132569c266
14162c581a
15d55449c
hex9118350

152142672 has 80 divisors (see below), whose sum is σ = 431275968. Its totient is φ = 45834240.

The previous prime is 152142659. The next prime is 152142689. The reversal of 152142672 is 276241251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101158 + ... + 102650.

Almost surely, 2152142672 is an apocalyptic number.

152142672 is a gapful number since it is divisible by the number (12) 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 152142672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215637984).

152142672 is an abundant number, since it is smaller than the sum of its proper divisors (279133296).

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

152142672 is a wasteful number, since it uses less digits than its factorization.

152142672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1702 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 152142672 is about 12334.6127624664. The cubic root of 152142672 is about 533.8472539320.

The spelling of 152142672 in words is "one hundred fifty-two million, one hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 193 264 386 528 579 772 1158 1493 1544 2123 2316 2986 3088 4246 4479 4632 5972 6369 8492 8958 9264 11944 12738 16423 16984 17916 23888 25476 32846 33968 35832 49269 50952 65692 71664 98538 101904 131384 197076 262768 288149 394152 576298 788304 864447 1152596 1728894 2305192 3169639 3457788 4610384 6339278 6915576 9508917 12678556 13831152 19017834 25357112 38035668 50714224 76071336 152142672