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42015680 = 265718757
BaseRepresentation
bin1010000001000…
…1101111000000
32221001121200022
42200101233000
541224000210
64100313012
71020061460
oct240215700
987047608
1042015680
1121798003
12120a2768
138921165
145819ba0
153a4e155
hex2811bc0

42015680 has 56 divisors (see below), whose sum is σ = 114348768. Its totient is φ = 14404608.

The previous prime is 42015671. The next prime is 42015691. The reversal of 42015680 is 8651024.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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, 7139 + ... + 11618.

Almost surely, 242015680 is an apocalyptic number.

42015680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42015680 is an abundant number, since it is smaller than the sum of its proper divisors (72333088).

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

42015680 is a wasteful number, since it uses less digits than its factorization.

42015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18781 (or 18771 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 42015680 is about 6481.9503237837. The cubic root of 42015680 is about 347.6459163271.

The spelling of 42015680 in words is "forty-two million, fifteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 18757 37514 75028 93785 131299 150056 187570 262598 300112 375140 525196 600224 656495 750280 1050392 1200448 1312990 1500560 2100784 2625980 3001120 4201568 5251960 6002240 8403136 10503920 21007840 42015680