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140463232 = 2771331389
BaseRepresentation
bin10000101111101…
…00110010000000
3100210022021022221
420113310302000
5241424310412
621534340424
73323626540
oct1027646200
9323267287
10140463232
1172319118
123b05a714
1323140150
1414925320
15c4e8b07
hex85f4c80

140463232 has 128 divisors (see below), whose sum is σ = 356428800. Its totient is φ = 53637120.

The previous prime is 140463229. The next prime is 140463293. The reversal of 140463232 is 232364041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 140463197 and 140463206.

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 15 ways as a sum of consecutive naturals, for example, 360894 + ... + 361282.

It is an arithmetic number, because the mean of its divisors is an integer number (2784600).

Almost surely, 2140463232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140463232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178214400).

140463232 is an abundant number, since it is smaller than the sum of its proper divisors (215965568).

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

140463232 is a wasteful number, since it uses less digits than its factorization.

140463232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 140463232 is about 11851.7185251760. The cubic root of 140463232 is about 519.8214771793.

The spelling of 140463232 in words is "one hundred forty million, four hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 128 182 208 217 224 248 364 389 403 416 434 448 496 728 778 806 832 868 896 992 1456 1556 1612 1664 1736 1984 2723 2821 2912 3112 3224 3472 3968 5057 5446 5642 5824 6224 6448 6944 10114 10892 11284 11648 12059 12448 12896 13888 20228 21784 22568 24118 24896 25792 27776 35399 40456 43568 45136 48236 49792 51584 70798 80912 84413 87136 90272 96472 141596 156767 161824 168826 174272 180544 192944 283192 313534 323648 337652 348544 361088 385888 566384 627068 647296 675304 771776 1097369 1132768 1254136 1350608 1543552 2194738 2265536 2508272 2701216 4389476 4531072 5016544 5402432 8778952 10033088 10804864 17557904 20066176 35115808 70231616 140463232