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140681952 = 2532661739
BaseRepresentation
bin10000110001010…
…10001011100000
3100210201101100200
420120222023200
5242003310302
621543145200
73325530315
oct1030521340
9323641320
10140681952
1172458484
123b145200
13231b8878
1414980d0c
15c53d81c
hex862a2e0

140681952 has 72 divisors (see below), whose sum is σ = 401211720. Its totient is φ = 46759680.

The previous prime is 140681927. The next prime is 140681963. The reversal of 140681952 is 259186041.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189999 + ... + 190737.

It is an arithmetic number, because the mean of its divisors is an integer number (5572385).

Almost surely, 2140681952 is an apocalyptic number.

140681952 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 140681952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200605860).

140681952 is an abundant number, since it is smaller than the sum of its proper divisors (260529768).

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

140681952 is a wasteful number, since it uses less digits than its factorization.

140681952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 140681952 is about 11860.9422897171. The cubic root of 140681952 is about 520.0911477304.

The spelling of 140681952 in words is "one hundred forty million, six hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 661 739 1322 1478 1983 2217 2644 2956 3966 4434 5288 5912 5949 6651 7932 8868 10576 11824 11898 13302 15864 17736 21152 23648 23796 26604 31728 35472 47592 53208 63456 70944 95184 106416 190368 212832 488479 976958 1465437 1953916 2930874 3907832 4396311 5861748 7815664 8792622 11723496 15631328 17585244 23446992 35170488 46893984 70340976 140681952