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100305040 = 24511113983
BaseRepresentation
bin1011111101010…
…00100010010000
320222202000122111
411332220202100
5201134230130
613541515104
72325402343
oct576504220
9228660574
10100305040
115168a730
1229712a94
1317a1c5c4
14d47045a
158c1502a
hex5fa8890

100305040 has 40 divisors (see below), whose sum is σ = 254412288. Its totient is φ = 36474240.

The previous prime is 100305013. The next prime is 100305053. The reversal of 100305040 is 40503001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1003050402 = 20122202098803200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100305040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56112 + ... + 57871.

Almost surely, 2100305040 is an apocalyptic number.

100305040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100305040 is an abundant number, since it is smaller than the sum of its proper divisors (154107248).

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

100305040 is a wasteful number, since it uses less digits than its factorization.

100305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114007 (or 114001 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 100305040 is about 10015.2403865309. The cubic root of 100305040 is about 464.6303610398.

Adding to 100305040 its reverse (40503001), we get a palindrome (140808041).

The spelling of 100305040 in words is "one hundred million, three hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 113983 227966 455932 569915 911864 1139830 1253813 1823728 2279660 2507626 4559320 5015252 6269065 9118640 10030504 12538130 20061008 25076260 50152520 100305040