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1396993632 = 253172431171
BaseRepresentation
bin101001101000100…
…0110111001100000
310121100200121222220
41103101012321200
510330112244012
6350342231040
746422151506
oct12321067140
93540617886
101396993632
11657625aa1
1232ba25480
13193568268
14d376c676
158299e08c
hex53446e60

1396993632 has 144 divisors (see below), whose sum is σ = 3989506752. Its totient is φ = 427714560.

The previous prime is 1396993613. The next prime is 1396993679. The reversal of 1396993632 is 2363996931.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192407 + ... + 1193577.

It is an arithmetic number, because the mean of its divisors is an integer number (27704908).

Almost surely, 21396993632 is an apocalyptic number.

1396993632 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 1396993632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994753376).

1396993632 is an abundant number, since it is smaller than the sum of its proper divisors (2592513120).

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

1396993632 is a wasteful number, since it uses less digits than its factorization.

1396993632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1236 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 51.

The square root of 1396993632 is about 37376.3779946640. The cubic root of 1396993632 is about 1117.8876085357.

The spelling of 1396993632 in words is "one billion, three hundred ninety-six million, nine hundred ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 68 86 96 102 129 136 172 204 258 272 289 344 408 516 544 578 688 731 816 867 1032 1156 1171 1376 1462 1632 1734 2064 2193 2312 2342 2924 3468 3513 4128 4386 4624 4684 5848 6936 7026 8772 9248 9368 11696 12427 13872 14052 17544 18736 19907 23392 24854 27744 28104 35088 37281 37472 39814 49708 50353 56208 59721 70176 74562 79628 99416 100706 112416 119442 149124 151059 159256 198832 201412 238884 298248 302118 318512 338419 397664 402824 477768 596496 604236 637024 676838 805648 856001 955536 1015257 1192992 1208472 1353676 1611296 1712002 1911072 2030514 2416944 2568003 2707352 3424004 4061028 4833888 5136006 5414704 6848008 8122056 10272012 10829408 13696016 14552017 16244112 20544024 27392032 29104034 32488224 41088048 43656051 58208068 82176096 87312102 116416136 174624204 232832272 349248408 465664544 698496816 1396993632