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1395698976 = 253276710333
BaseRepresentation
bin101001100110000…
…1010110100100000
310121021020212001200
41103030022310200
510324244331401
6350254401200
746405150140
oct12314126440
93537225050
101395698976
11656921331
1232b500200
13193203ba9
14d3512920
15827e5686
hex5330ad20

1395698976 has 144 divisors (see below), whose sum is σ = 4604169024. Its totient is φ = 392781312.

The previous prime is 1395698959. The next prime is 1395699001. The reversal of 1395698976 is 6798965931.

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 (63).

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, 129906 + ... + 140238.

It is an arithmetic number, because the mean of its divisors is an integer number (31973396).

Almost surely, 21395698976 is an apocalyptic number.

1395698976 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 1395698976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302084512).

1395698976 is an abundant number, since it is smaller than the sum of its proper divisors (3208470048).

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

1395698976 is a wasteful number, since it uses less digits than its factorization.

1395698976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10423 (or 10412 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The square root of 1395698976 is about 37359.0548060306. The cubic root of 1395698976 is about 1117.5421697823.

The spelling of 1395698976 in words is "one billion, three hundred ninety-five million, six hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 67 72 84 96 112 126 134 144 168 201 224 252 268 288 336 402 469 504 536 603 672 804 938 1008 1072 1206 1407 1608 1876 2016 2144 2412 2814 3216 3752 4221 4824 5628 6432 7504 8442 9648 10333 11256 15008 16884 19296 20666 22512 30999 33768 41332 45024 61998 67536 72331 82664 92997 123996 135072 144662 165328 185994 216993 247992 289324 330656 371988 433986 495984 578648 650979 692311 743976 867972 991968 1157296 1301958 1384622 1487952 1735944 2076933 2314592 2603916 2769244 2975904 3471888 4153866 4846177 5207832 5538488 6230799 6943776 8307732 9692354 10415664 11076976 12461598 14538531 16615464 19384708 20831328 22153952 24923196 29077062 33230928 38769416 43615593 49846392 58154124 66461856 77538832 87231186 99692784 116308248 155077664 174462372 199385568 232616496 348924744 465232992 697849488 1395698976