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1400071392 = 25341928429
BaseRepresentation
bin101001101110011…
…0110010011100000
310121120110222220000
41103130312103200
510331404241032
6350532220000
746460260536
oct12334662340
93546428800
101400071392
116593383a5
12330a6a600
131940a5115
14d3d30156
1582daae7c
hex537364e0

1400071392 has 120 divisors (see below), whose sum is σ = 4334437800. Its totient is φ = 442112256.

The previous prime is 1400071369. The next prime is 1400071399. The reversal of 1400071392 is 2931700041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400071399) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35034 + ... + 63462.

It is an arithmetic number, because the mean of its divisors is an integer number (36120315).

Almost surely, 21400071392 is an apocalyptic number.

1400071392 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 1400071392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167218900).

1400071392 is an abundant number, since it is smaller than the sum of its proper divisors (2934366408).

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

1400071392 is a wasteful number, since it uses less digits than its factorization.

1400071392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28470 (or 28453 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1400071392 is about 37417.5278713065. The cubic root of 1400071392 is about 1118.7079573394.

The spelling of 1400071392 in words is "one billion, four hundred million, seventy-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 2052 2592 2736 3078 4104 5472 6156 8208 12312 16416 24624 28429 49248 56858 85287 113716 170574 227432 255861 341148 454864 511722 540151 682296 767583 909728 1023444 1080302 1364592 1535166 1620453 2046888 2160604 2302749 2729184 3070332 3240906 4093776 4321208 4605498 4861359 6140664 6481812 8187552 8642416 9210996 9722718 12281328 12963624 14584077 17284832 18421992 19445436 24562656 25927248 29168154 36843984 38890872 43752231 51854496 58336308 73687968 77781744 87504462 116672616 155563488 175008924 233345232 350017848 466690464 700035696 1400071392