Search a number
-
+
672516560 = 245431371427
BaseRepresentation
bin101000000101011…
…100100111010000
31201212110101021202
4220011130213100
52334131012220
6150422210332
722444203452
oct5005344720
91655411252
10672516560
11315688711
121692839a8
13a94389c1
14654622d2
153e094275
hex2815c9d0

672516560 has 80 divisors (see below), whose sum is σ = 1612771776. Its totient is φ = 260649984.

The previous prime is 672516557. The next prime is 672516577. The reversal of 672516560 is 65615276.

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

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, 470567 + ... + 471993.

Almost surely, 2672516560 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 672516560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806385888).

672516560 is an abundant number, since it is smaller than the sum of its proper divisors (940255216).

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

672516560 is a wasteful number, since it uses less digits than its factorization.

672516560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 672516560 is about 25932.9242469877. The cubic root of 672516560 is about 876.1282034725.

The spelling of 672516560 in words is "six hundred seventy-two million, five hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 137 172 215 274 344 430 548 685 688 860 1096 1370 1427 1720 2192 2740 2854 3440 5480 5708 5891 7135 10960 11416 11782 14270 22832 23564 28540 29455 47128 57080 58910 61361 94256 114160 117820 122722 195499 235640 245444 306805 390998 471280 490888 613610 781996 977495 981776 1227220 1563992 1954990 2454440 3127984 3909980 4908880 7819960 8406457 15639920 16812914 33625828 42032285 67251656 84064570 134503312 168129140 336258280 672516560