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40076720 = 245677477
BaseRepresentation
bin1001100011100…
…0010110110000
32210102002220222
42120320112300
540224423340
63550552212
7664434515
oct230702660
983362828
1040076720
1120693262
1211508668
1383c2748
14547330c
1537b98b5
hex26385b0

40076720 has 40 divisors (see below), whose sum is σ = 94581744. Its totient is φ = 15789312.

The previous prime is 40076629. The next prime is 40076723. The reversal of 40076720 is 2767004.

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

It is a super-2 number, since 2×400767202 = 3212286971916800, 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 40076720.

It is not an unprimeable number, because it can be changed into a prime (40076723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1622 + ... + 9098.

Almost surely, 240076720 is an apocalyptic number.

40076720 is a gapful number since it is divisible by the number (40) 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 40076720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47290872).

40076720 is an abundant number, since it is smaller than the sum of its proper divisors (54505024).

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

40076720 is a wasteful number, since it uses less digits than its factorization.

40076720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7557 (or 7551 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 40076720 is about 6330.6176633880. The cubic root of 40076720 is about 342.2136986189.

The spelling of 40076720 in words is "forty million, seventy-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 7477 14954 29908 37385 59816 74770 119632 149540 299080 500959 598160 1001918 2003836 2504795 4007672 5009590 8015344 10019180 20038360 40076720