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1400868920 = 235113123313
BaseRepresentation
bin101001101111111…
…1001000000111000
310121121222111220002
41103133321000320
510332110301140
6351001252132
746500121643
oct12337710070
93547874802
101400868920
11659832610
12331194048
131942c4129
14d409aa5a
1582eb7415
hex537f9038

1400868920 has 96 divisors (see below), whose sum is σ = 3554066160. Its totient is φ = 492825600.

The previous prime is 1400868893. The next prime is 1400868941. The reversal of 1400868920 is 298680041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421184 + ... + 424496.

Almost surely, 21400868920 is an apocalyptic number.

1400868920 is a gapful number since it is divisible by the number (10) 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 1400868920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777033080).

1400868920 is an abundant number, since it is smaller than the sum of its proper divisors (2153197240).

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

1400868920 is a wasteful number, since it uses less digits than its factorization.

1400868920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 1400868920 is about 37428.1834985349. The cubic root of 1400868920 is about 1118.9203349770.

It can be divided in two parts, 14008 and 68920, that added together give a palindrome (82928).

The spelling of 1400868920 in words is "one billion, four hundred million, eight hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 961 1240 1364 1705 1922 2728 3313 3410 3844 4805 6626 6820 7688 9610 10571 13252 13640 16565 19220 21142 26504 33130 36443 38440 42284 52855 66260 72886 84568 102703 105710 132520 145772 182215 205406 211420 291544 364430 410812 422840 513515 728860 821624 1027030 1129733 1457720 2054060 2259466 3183793 4108120 4518932 5648665 6367586 9037864 11297330 12735172 15918965 22594660 25470344 31837930 35021723 45189320 63675860 70043446 127351720 140086892 175108615 280173784 350217230 700434460 1400868920