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102382336 = 287193197
BaseRepresentation
bin1100001101000…
…11101100000000
321010122120011101
412012203230000
5202202213321
614054224144
72352143530
oct606435400
9233576141
10102382336
1152879401
122a355054
1318298c84
14d8514c0
158ec5791
hex61a3b00

102382336 has 144 divisors (see below), whose sum is σ = 256399360. Its totient is φ = 39813120.

The previous prime is 102382333. The next prime is 102382373. The reversal of 102382336 is 633283201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (102382333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1055440 + ... + 1055536.

Almost surely, 2102382336 is an apocalyptic number.

102382336 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 102382336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128199680).

102382336 is an abundant number, since it is smaller than the sum of its proper divisors (154017024).

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

102382336 is an equidigital number, since it uses as much as digits as its factorization.

102382336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 102382336 is about 10118.4156862624. The cubic root of 102382336 is about 467.8159356039.

The spelling of 102382336 in words is "one hundred two million, three hundred eighty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 76 97 112 124 128 133 152 194 217 224 248 256 266 304 388 434 448 496 532 589 608 679 776 868 896 992 1064 1178 1216 1358 1552 1736 1792 1843 1984 2128 2356 2432 2716 3007 3104 3472 3686 3968 4123 4256 4712 4864 5432 6014 6208 6944 7372 7936 8246 8512 9424 10864 12028 12416 12901 13888 14744 16492 17024 18848 21049 21728 24056 24832 25802 27776 29488 32984 34048 37696 42098 43456 48112 51604 55552 57133 58976 65968 75392 84196 86912 96224 103208 114266 117952 131936 150784 168392 173824 192448 206416 228532 235904 263872 336784 384896 399931 412832 457064 471808 527744 673568 769792 799862 825664 914128 1055488 1347136 1599724 1651328 1828256 2694272 3199448 3302656 3656512 5388544 6398896 7313024 12797792 14626048 25595584 51191168 102382336