Search a number
-
+
56070480 = 2435307761
BaseRepresentation
bin1101010111100…
…1000101010000
310220111200020110
43111321011100
5103323223410
65321441320
71250406534
oct325710520
9126450213
1056070480
1129717644
1216940240
13b8024cb
147637bc4
154dc8720
hex3579150

56070480 has 80 divisors (see below), whose sum is σ = 174613824. Its totient is φ = 14883840.

The previous prime is 56070457. The next prime is 56070517. The reversal of 56070480 is 8407065.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73300 + ... + 74060.

Almost surely, 256070480 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 56070480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87306912).

56070480 is an abundant number, since it is smaller than the sum of its proper divisors (118543344).

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

56070480 is a wasteful number, since it uses less digits than its factorization.

56070480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 56070480 is about 7488.0224358638. The cubic root of 56070480 is about 382.7466733017.

The spelling of 56070480 in words is "fifty-six million, seventy thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 307 614 761 921 1228 1522 1535 1842 2283 2456 3044 3070 3684 3805 4566 4605 4912 6088 6140 7368 7610 9132 9210 11415 12176 12280 14736 15220 18264 18420 22830 24560 30440 36528 36840 45660 60880 73680 91320 182640 233627 467254 700881 934508 1168135 1401762 1869016 2336270 2803524 3504405 3738032 4672540 5607048 7008810 9345080 11214096 14017620 18690160 28035240 56070480