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140072352 = 2537208441
BaseRepresentation
bin10000101100101…
…01010110100000
3100202120102010220
420112111112200
5241324303402
621522123040
73320411130
oct1026252640
9322512126
10140072352
1172081482
123aab0480
1323034264
1414862ac0
15c46cdbc
hex85955a0

140072352 has 48 divisors (see below), whose sum is σ = 420219072. Its totient is φ = 40020480.

The previous prime is 140072347. The next prime is 140072357. The reversal of 140072352 is 253270041.

It is an interprime number because it is at equal distance from previous prime (140072347) and next prime (140072357).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (140072357) 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, 103549 + ... + 104892.

It is an arithmetic number, because the mean of its divisors is an integer number (8754564).

Almost surely, 2140072352 is an apocalyptic number.

140072352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140072352 is an abundant number, since it is smaller than the sum of its proper divisors (280146720).

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

140072352 is a wasteful number, since it uses less digits than its factorization.

140072352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208461 (or 208453 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 140072352 is about 11835.2166013132. The cubic root of 140072352 is about 519.3388441455.

The spelling of 140072352 in words is "one hundred forty million, seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 208441 416882 625323 833764 1250646 1459087 1667528 2501292 2918174 3335056 4377261 5002584 5836348 6670112 8754522 10005168 11672696 17509044 20010336 23345392 35018088 46690784 70036176 140072352