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103742772 = 22371772649
BaseRepresentation
bin1100010111011…
…11110100110100
321020012200022220
412023233310310
5203024232042
614143322340
72366541030
oct613576464
9236180286
10103742772
1153618531
122a8b03b0
1318654273
14dac71c0
1591938ec
hex62efd34

103742772 has 48 divisors (see below), whose sum is σ = 292924800. Its totient is φ = 27896832.

The previous prime is 103742767. The next prime is 103742777. The reversal of 103742772 is 277247301.

It is an interprime number because it is at equal distance from previous prime (103742767) and next prime (103742777).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103742777) 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, 34897 + ... + 37752.

It is an arithmetic number, because the mean of its divisors is an integer number (6102600).

Almost surely, 2103742772 is an apocalyptic number.

103742772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103742772 is an abundant number, since it is smaller than the sum of its proper divisors (189182028).

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

103742772 is a wasteful number, since it uses less digits than its factorization.

103742772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72680 (or 72678 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 103742772 is about 10185.4195789864. The cubic root of 103742772 is about 469.8789064826.

The spelling of 103742772 in words is "one hundred three million, seven hundred forty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 72649 145298 217947 290596 435894 508543 871788 1017086 1235033 1525629 2034172 2470066 3051258 3705099 4940132 6102516 7410198 8645231 14820396 17290462 25935693 34580924 51871386 103742772