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1381512096 = 2532107127353
BaseRepresentation
bin101001001011000…
…0011001110100000
310120021120002022200
41102112003032200
510312131341341
6345030333200
746143442026
oct12226031640
93507502280
101381512096
11649911538
123267ba200
131902a76a3
14d169c716
1581441db6
hex525833a0

1381512096 has 144 divisors (see below), whose sum is σ = 4007937024. Its totient is φ = 451325952.

The previous prime is 1381512073. The next prime is 1381512101. The reversal of 1381512096 is 6902151831.

1381512096 is a `hidden beast` number, since 138 + 1 + 512 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1381512096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3913456 + ... + 3913808.

It is an arithmetic number, because the mean of its divisors is an integer number (27832896).

Almost surely, 21381512096 is an apocalyptic number.

1381512096 is a gapful number since it is divisible by the number (16) 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 1381512096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003968512).

1381512096 is an abundant number, since it is smaller than the sum of its proper divisors (2626424928).

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

1381512096 is a wasteful number, since it uses less digits than its factorization.

1381512096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1381512096 is about 37168.6977980128. The cubic root of 1381512096 is about 1113.7427686804.

The spelling of 1381512096 in words is "one billion, three hundred eighty-one million, five hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 127 144 214 254 288 321 353 381 428 508 642 706 762 856 963 1016 1059 1143 1284 1412 1524 1712 1926 2032 2118 2286 2568 2824 3048 3177 3424 3852 4064 4236 4572 5136 5648 6096 6354 7704 8472 9144 10272 11296 12192 12708 13589 15408 16944 18288 25416 27178 30816 33888 36576 37771 40767 44831 50832 54356 75542 81534 89662 101664 108712 113313 122301 134493 151084 163068 179324 217424 226626 244602 268986 302168 326136 339939 358648 403479 434848 453252 489204 537972 604336 652272 679878 717296 806958 906504 978408 1075944 1208672 1304544 1359756 1434592 1613916 1813008 1956816 2151888 2719512 3227832 3626016 3913632 4303776 4796917 5439024 6455664 9593834 10878048 12911328 14390751 19187668 28781502 38375336 43172253 57563004 76750672 86344506 115126008 153501344 172689012 230252016 345378024 460504032 690756048 1381512096