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1399367424 = 28371320023
BaseRepresentation
bin101001101101000…
…1010011100000000
310121112011020020010
41103122022130000
510331214224144
6350505144520
746451266260
oct12332123400
93545136203
101399367424
116589a7504
1233078b140
13193bb9880
14d3bc97a0
1582cbc5b9
hex5368a700

1399367424 has 144 divisors (see below), whose sum is σ = 4584054272. Its totient is φ = 369045504.

The previous prime is 1399367413. The next prime is 1399367443. The reversal of 1399367424 is 4247639931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59877 + ... + 79899.

Almost surely, 21399367424 is an apocalyptic number.

1399367424 is a gapful number since it is divisible by the number (14) 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 1399367424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292027136).

1399367424 is an abundant number, since it is smaller than the sum of its proper divisors (3184686848).

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

1399367424 is a wasteful number, since it uses less digits than its factorization.

1399367424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20062 (or 20048 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 1399367424 is about 37408.1197602873. The cubic root of 1399367424 is about 1118.5204272277.

The spelling of 1399367424 in words is "one billion, three hundred ninety-nine million, three hundred sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 4368 4992 5376 5824 8736 9984 11648 17472 20023 23296 34944 40046 60069 69888 80092 120138 140161 160184 240276 260299 280322 320368 420483 480552 520598 560644 640736 780897 840966 961104 1041196 1121288 1281472 1561794 1681932 1822093 1922208 2082392 2242576 2562944 3123588 3363864 3644186 3844416 4164784 4485152 5125888 5466279 6247176 6727728 7288372 7688832 8329568 8970304 10932558 12494352 13455456 14576744 15377664 16659136 17940608 21865116 24988704 26910912 29153488 33318272 35881216 43730232 49977408 53821824 58306976 66636544 87460464 99954816 107643648 116613952 174920928 199909632 233227904 349841856 466455808 699683712 1399367424