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102402432 = 2732118081
BaseRepresentation
bin1100001101010…
…00100110000000
321010200120201200
412012220212000
5202203334212
614054501200
72352256236
oct606504600
9233616650
10102402432
1152892510
122a364800
13182a5172
14d858956
158ecb6dc
hex61a8980

102402432 has 96 divisors (see below), whose sum is σ = 321501960. Its totient is φ = 31027200.

The previous prime is 102402427. The next prime is 102402437. The reversal of 102402432 is 234204201.

It is an interprime number because it is at equal distance from previous prime (102402427) and next prime (102402437).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102402437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8632 + ... + 16712.

Almost surely, 2102402432 is an apocalyptic number.

102402432 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 102402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160750980).

102402432 is an abundant number, since it is smaller than the sum of its proper divisors (219099528).

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

102402432 is a wasteful number, since it uses less digits than its factorization.

102402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112 (or 8097 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102402432 is about 10119.4086783764. The cubic root of 102402432 is about 467.8465418405.

Adding to 102402432 its reverse (234204201), we get a palindrome (336606633).

The spelling of 102402432 in words is "one hundred two million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 8081 12672 16162 24243 32324 48486 64648 72729 88891 96972 129296 145458 177782 193944 258592 266673 290916 355564 387888 517184 533346 581832 711128 775776 800019 1034368 1066692 1163664 1422256 1551552 1600038 2133384 2327328 2844512 3103104 3200076 4266768 4654656 5689024 6400152 8533536 9309312 11378048 12800304 17067072 25600608 34134144 51201216 102402432