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40253680 = 24523131167
BaseRepresentation
bin1001100110001…
…1100011110000
32210202002200001
42121203203300
540301104210
63554435344
7666102445
oct231434360
983662601
1040253680
11207a4205
1211592b54
13845515c
1454bb9cc
15380203a
hex26638f0

40253680 has 80 divisors (see below), whose sum is σ = 98993664. Its totient is φ = 15192320.

The previous prime is 40253627. The next prime is 40253687. The reversal of 40253680 is 8635204.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40253687) 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, 240957 + ... + 241123.

Almost surely, 240253680 is an apocalyptic number.

40253680 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 40253680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).

40253680 is an abundant number, since it is smaller than the sum of its proper divisors (58739984).

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

40253680 is a wasteful number, since it uses less digits than its factorization.

40253680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 40253680 is about 6344.5787882254. The cubic root of 40253680 is about 342.7166441528.

Adding to 40253680 its reverse (8635204), we get a palindrome (48888884).

The spelling of 40253680 in words is "forty million, two hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 131 167 184 230 262 334 368 460 524 655 668 835 920 1048 1310 1336 1670 1840 2096 2620 2672 3013 3340 3841 5240 6026 6680 7682 10480 12052 13360 15065 15364 19205 21877 24104 30130 30728 38410 43754 48208 60260 61456 76820 87508 109385 120520 153640 175016 218770 241040 307280 350032 437540 503171 875080 1006342 1750160 2012684 2515855 4025368 5031710 8050736 10063420 20126840 40253680