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1390654272 = 26371735981
BaseRepresentation
bin101001011100011…
…1011001101000000
310120220202120000210
41102320323031000
510322001414042
6345554314120
746314236430
oct12270731500
93526676023
101390654272
11653a96157
12329888940
13192158967
14d299c2c0
158214aa9c
hex52e3b340

1390654272 has 112 divisors (see below), whose sum is σ = 4230087552. Its totient is φ = 394967040.

The previous prime is 1390654259. The next prime is 1390654297. The reversal of 1390654272 is 2724560931.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 1390654272.

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, 229522 + ... + 235502.

Almost surely, 21390654272 is an apocalyptic number.

1390654272 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 1390654272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115043776).

1390654272 is an abundant number, since it is smaller than the sum of its proper divisors (2839433280).

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

1390654272 is a wasteful number, since it uses less digits than its factorization.

1390654272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6176 (or 6166 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 1390654272 is about 37291.4772032431. The cubic root of 1390654272 is about 1116.1941055726.

The spelling of 1390654272 in words is "one billion, three hundred ninety million, six hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 173 192 224 336 346 448 519 672 692 1038 1211 1344 1384 2076 2422 2768 3633 4152 4844 5536 5981 7266 8304 9688 11072 11962 14532 16608 17943 19376 23924 29064 33216 35886 38752 41867 47848 58128 71772 77504 83734 95696 116256 125601 143544 167468 191392 232512 251202 287088 334936 382784 502404 574176 669872 1004808 1034713 1148352 1339744 2009616 2069426 2679488 3104139 4019232 4138852 6208278 7242991 8038464 8277704 12416556 14485982 16555408 21728973 24833112 28971964 33110816 43457946 49666224 57943928 66221632 86915892 99332448 115887856 173831784 198664896 231775712 347663568 463551424 695327136 1390654272