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56673840 = 24352310267
BaseRepresentation
bin1101100000110…
…0011000110000
310221122022220010
43120030120300
5104002030330
65342414520
71255501566
oct330143060
9127568803
1056673840
1129a99993
1216b91440
13b984022
147753a36
154e973b0
hex360c630

56673840 has 80 divisors (see below), whose sum is σ = 183345408. Its totient is φ = 14454528.

The previous prime is 56673839. The next prime is 56673847. The reversal of 56673840 is 4837665.

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

It is not an unprimeable number, because it can be changed into a prime (56673847) 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, 387 + ... + 10653.

Almost surely, 256673840 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 56673840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91672704).

56673840 is an abundant number, since it is smaller than the sum of its proper divisors (126671568).

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

56673840 is a wasteful number, since it uses less digits than its factorization.

56673840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10306 (or 10300 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 56673840 is about 7528.2029728216. The cubic root of 56673840 is about 384.1146576015.

The spelling of 56673840 in words is "fifty-six million, six hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 10267 20534 30801 41068 51335 61602 82136 102670 123204 154005 164272 205340 236141 246408 308010 410680 472282 492816 616020 708423 821360 944564 1180705 1232040 1416846 1889128 2361410 2464080 2833692 3542115 3778256 4722820 5667384 7084230 9445640 11334768 14168460 18891280 28336920 56673840