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1400680440 = 2332531125509
BaseRepresentation
bin101001101111100…
…1010111111111000
310121121121221100100
41103133022333320
510332033233230
6350553235400
746465405305
oct12337127770
93547557310
101400680440
11659713a45
12331102b60
131942593c3
14d404c0ac
1582e7b660
hex537caff8

1400680440 has 96 divisors (see below), whose sum is σ = 4699094400. Its totient is φ = 361463040.

The previous prime is 1400680433. The next prime is 1400680447. The reversal of 1400680440 is 440860041.

1400680440 is a `hidden beast` number, since 140 + 0 + 6 + 80 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (1400680433) and next prime (1400680447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400680447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51595 + ... + 73914.

It is an arithmetic number, because the mean of its divisors is an integer number (48948900).

Almost surely, 21400680440 is an apocalyptic number.

1400680440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1400680440 is an abundant number, since it is smaller than the sum of its proper divisors (3298413960).

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

1400680440 is a wasteful number, since it uses less digits than its factorization.

1400680440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125557 (or 125550 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1400680440 is about 37425.6655251446. The cubic root of 1400680440 is about 1118.8701509898.

The spelling of 1400680440 in words is "one billion, four hundred million, six hundred eighty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 125509 251018 376527 502036 627545 753054 1004072 1129581 1255090 1506108 1882635 2259162 2510180 3012216 3765270 3890779 4518324 5020360 5647905 7530540 7781558 9036648 11295810 11672337 15061080 15563116 19453895 22591620 23344674 31126232 35017011 38907790 45183240 46689348 58361685 70034022 77815580 93378696 116723370 140068044 155631160 175085055 233446740 280136088 350170110 466893480 700340220 1400680440