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103295232 = 2832107419
BaseRepresentation
bin1100010100000…
…10100100000000
321012100221102100
412022002210000
5202420421412
614125550400
72362665165
oct612024400
9235327370
10103295232
1153342267
122a715400
1318528651
14da0c06c
159105edc
hex6282900

103295232 has 108 divisors (see below), whose sum is σ = 301326480. Its totient is φ = 34028544.

The previous prime is 103295201. The next prime is 103295287. The reversal of 103295232 is 232592301.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 103295196 and 103295205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246319 + ... + 246737.

It is an arithmetic number, because the mean of its divisors is an integer number (2790060).

Almost surely, 2103295232 is an apocalyptic number.

103295232 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 103295232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150663240).

103295232 is an abundant number, since it is smaller than the sum of its proper divisors (198031248).

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

103295232 is a wasteful number, since it uses less digits than its factorization.

103295232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 103295232 is about 10163.4261939564. The cubic root of 103295232 is about 469.2022562102.

The spelling of 103295232 in words is "one hundred three million, two hundred ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 256 288 321 384 419 428 576 642 768 838 856 963 1152 1257 1284 1676 1712 1926 2304 2514 2568 3352 3424 3771 3852 5028 5136 6704 6848 7542 7704 10056 10272 13408 13696 15084 15408 20112 20544 26816 27392 30168 30816 40224 41088 44833 53632 60336 61632 80448 82176 89666 107264 120672 123264 134499 160896 179332 241344 246528 268998 321792 358664 403497 482688 537996 717328 806994 965376 1075992 1434656 1613988 2151984 2869312 3227976 4303968 5738624 6455952 8607936 11477248 12911904 17215872 25823808 34431744 51647616 103295232