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102995424 = 25327471087
BaseRepresentation
bin1100010001110…
…01010111100000
321011210201011100
412020321113200
5202331323144
614115314400
72360306130
oct610712740
9234721140
10102995424
1153157a94
122a5aba00
131845204c
14d970ac0
159097269
hex62395e0

102995424 has 144 divisors (see below), whose sum is σ = 342171648. Its totient is φ = 28774656.

The previous prime is 102995419. The next prime is 102995429. The reversal of 102995424 is 424599201.

102995424 is a `hidden beast` number, since 102 + 9 + 9 + 542 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (102995419) and next prime (102995429).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (102995429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94209 + ... + 95295.

It is an arithmetic number, because the mean of its divisors is an integer number (2376192).

Almost surely, 2102995424 is an apocalyptic number.

102995424 is a gapful number since it is divisible by the number (14) 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 102995424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171085824).

102995424 is an abundant number, since it is smaller than the sum of its proper divisors (239176224).

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

102995424 is a wasteful number, since it uses less digits than its factorization.

102995424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 102995424 is about 10148.6661192494. Note that the first 3 decimals coincide. The cubic root of 102995424 is about 468.7478728437.

The spelling of 102995424 in words is "one hundred two million, nine hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 252 282 288 329 336 376 423 504 564 658 672 752 846 987 1008 1087 1128 1316 1504 1692 1974 2016 2174 2256 2632 2961 3261 3384 3948 4348 4512 5264 5922 6522 6768 7609 7896 8696 9783 10528 11844 13044 13536 15218 15792 17392 19566 22827 23688 26088 30436 31584 34784 39132 45654 47376 51089 52176 60872 68481 78264 91308 94752 102178 104352 121744 136962 153267 156528 182616 204356 243488 273924 306534 313056 357623 365232 408712 459801 547848 613068 715246 730464 817424 919602 1072869 1095696 1226136 1430492 1634848 1839204 2145738 2191392 2452272 2860984 3218607 3678408 4291476 4904544 5721968 6437214 7356816 8582952 11443936 12874428 14713632 17165904 25748856 34331808 51497712 102995424