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1406035644 = 22313194710093
BaseRepresentation
bin101001111001110…
…0110011010111100
310121222201000022020
41103303212122330
510334421120034
6351304120140
746562051166
oct12363463274
93558630266
101406035644
11661741432
12332a66050
131953b2a70
14d4a43936
1583688249
hex53ce66bc

1406035644 has 96 divisors (see below), whose sum is σ = 3798574080. Its totient is φ = 401096448.

The previous prime is 1406035639. The next prime is 1406035679. The reversal of 1406035644 is 4465306041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134262 + ... + 144354.

It is an arithmetic number, because the mean of its divisors is an integer number (39568480).

Almost surely, 21406035644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406035644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899287040).

1406035644 is an abundant number, since it is smaller than the sum of its proper divisors (2392538436).

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

1406035644 is a wasteful number, since it uses less digits than its factorization.

1406035644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10179 (or 10177 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 1406035644 is about 37497.1418110767. The cubic root of 1406035644 is about 1120.2942583543.

The spelling of 1406035644 in words is "one billion, four hundred six million, thirty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 47 52 57 76 78 94 114 141 156 188 228 247 282 494 564 611 741 893 988 1222 1482 1786 1833 2444 2679 2964 3572 3666 5358 7332 10093 10716 11609 20186 23218 30279 34827 40372 46436 60558 69654 121116 131209 139308 191767 262418 383534 393627 474371 524836 575301 767068 787254 948742 1150602 1423113 1574508 1897484 2301204 2492971 2846226 4985942 5692452 6166823 7478913 9013049 9971884 12333646 14957826 18026098 18500469 24667292 27039147 29915652 36052196 37000938 54078294 74001876 108156588 117169637 234339274 351508911 468678548 703017822 1406035644