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103290680 = 23537101691
BaseRepresentation
bin1100010100000…
…01011100111000
321012100201011202
412022001130320
5202420300210
614125513332
72362646003
oct612013470
9235321152
10103290680
11533398a9
122a712848
131852655c
14da0a53a
1591049a5
hex6281738

103290680 has 64 divisors (see below), whose sum is σ = 241397280. Its totient is φ = 39744000.

The previous prime is 103290661. The next prime is 103290709. The reversal of 103290680 is 86092301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149135 + ... + 149825.

Almost surely, 2103290680 is an apocalyptic number.

103290680 is a gapful number since it is divisible by the number (10) 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 103290680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120698640).

103290680 is an abundant number, since it is smaller than the sum of its proper divisors (138106600).

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

103290680 is a wasteful number, since it uses less digits than its factorization.

103290680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 103290680 is about 10163.2022512592. The cubic root of 103290680 is about 469.1953638623.

The spelling of 103290680 in words is "one hundred three million, two hundred ninety thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 101 148 185 202 296 370 404 505 691 740 808 1010 1382 1480 2020 2764 3455 3737 4040 5528 6910 7474 13820 14948 18685 25567 27640 29896 37370 51134 69791 74740 102268 127835 139582 149480 204536 255670 279164 348955 511340 558328 697910 1022680 1395820 2582267 2791640 5164534 10329068 12911335 20658136 25822670 51645340 103290680