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103046664 = 23371016073
BaseRepresentation
bin1100010010001…
…01111000001000
321011220022110010
412021011320020
5202334443124
614120351520
72360611410
oct611057010
9234808403
10103046664
1153192536
122a6155a0
131846c476
14d985640
1590a7529
hex6245e08

103046664 has 64 divisors (see below), whose sum is σ = 297383040. Its totient is φ = 29145600.

The previous prime is 103046663. The next prime is 103046683. The reversal of 103046664 is 466640301.

It is a super-2 number, since 2×1030466642 = 21237229923057792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (103046663) 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, 13932 + ... + 20004.

It is an arithmetic number, because the mean of its divisors is an integer number (4646610).

Almost surely, 2103046664 is an apocalyptic number.

103046664 is a gapful number since it is divisible by the number (14) 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 103046664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148691520).

103046664 is an abundant number, since it is smaller than the sum of its proper divisors (194336376).

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

103046664 is a wasteful number, since it uses less digits than its factorization.

103046664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6190 (or 6186 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 103046664 is about 10151.1902750367. The cubic root of 103046664 is about 468.8255936397.

Adding to 103046664 its reverse (466640301), we get a palindrome (569686965).

The spelling of 103046664 in words is "one hundred three million, forty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 808 1212 1414 2121 2424 2828 4242 5656 6073 8484 12146 16968 18219 24292 36438 42511 48584 72876 85022 127533 145752 170044 255066 340088 510132 613373 1020264 1226746 1840119 2453492 3680238 4293611 4906984 7360476 8587222 12880833 14720952 17174444 25761666 34348888 51523332 103046664