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100066644 = 22336713829
BaseRepresentation
bin1011111011011…
…10010101010100
320222021220122000
411331232111110
5201104113034
613532435300
72323360326
oct575562524
9228256560
10100066644
1151537607
1229618b30
1317967c42
14d40b616
158bb9599
hex5f6e554

100066644 has 48 divisors (see below), whose sum is σ = 263323200. Its totient is φ = 32855328.

The previous prime is 100066627. The next prime is 100066651. The reversal of 100066644 is 446660001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322 + ... + 14150.

It is an arithmetic number, because the mean of its divisors is an integer number (5485900).

Almost surely, 2100066644 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 100066644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131661600).

100066644 is an abundant number, since it is smaller than the sum of its proper divisors (163256556).

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

100066644 is a wasteful number, since it uses less digits than its factorization.

100066644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13909 (or 13901 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 100066644 is about 10003.3316450071. The cubic root of 100066644 is about 464.2619718127.

The spelling of 100066644 in words is "one hundred million, sixty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1809 2412 3618 7236 13829 27658 41487 55316 82974 124461 165948 248922 373383 497844 746766 926543 1493532 1853086 2779629 3706172 5559258 8338887 11118516 16677774 25016661 33355548 50033322 100066644