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103151964 = 223232511489
BaseRepresentation
bin1100010010111…
…11100101011100
321012002122220010
412021133211130
5202401330324
614122523220
72361530406
oct611374534
9235078803
10103151964
1153254663
122a666510
13184a8386
14d9b1b76
1590c8829
hex625f95c

103151964 has 48 divisors (see below), whose sum is σ = 252322560. Its totient is φ = 32736000.

The previous prime is 103151963. The next prime is 103152013. The reversal of 103151964 is 469151301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103151963) 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, 68532 + ... + 70020.

It is an arithmetic number, because the mean of its divisors is an integer number (5256720).

Almost surely, 2103151964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103151964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126161280).

103151964 is an abundant number, since it is smaller than the sum of its proper divisors (149170596).

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

103151964 is a wasteful number, since it uses less digits than its factorization.

103151964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 103151964 is about 10156.3755346088. The cubic root of 103151964 is about 468.9852317655.

The spelling of 103151964 in words is "one hundred three million, one hundred fifty-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 251 276 502 753 1004 1489 1506 2978 3012 4467 5773 5956 8934 11546 17319 17868 23092 34247 34638 68494 69276 102741 136988 205482 373739 410964 747478 1121217 1494956 2242434 4484868 8595997 17191994 25787991 34383988 51575982 103151964