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672400560 = 243513613533
BaseRepresentation
bin101000000101000…
…000010010110000
31201212020111011110
4220011000102300
52334113304220
6150415513320
722443211326
oct5005002260
91655214143
10672400560
11315609547
12169228840
13a93c7c70
1465431d16
153e06ebe0
hex281404b0

672400560 has 160 divisors (see below), whose sum is σ = 2282228928. Its totient is φ = 162754560.

The previous prime is 672400537. The next prime is 672400577. The reversal of 672400560 is 65004276.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188554 + ... + 192086.

Almost surely, 2672400560 is an apocalyptic number.

672400560 is a gapful number since it is divisible by the number (60) 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 672400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141114464).

672400560 is an abundant number, since it is smaller than the sum of its proper divisors (1609828368).

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

672400560 is a wasteful number, since it uses less digits than its factorization.

672400560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 672400560 is about 25930.6876113997. The cubic root of 672400560 is about 876.0778271589.

The spelling of 672400560 in words is "six hundred seventy-two million, four hundred thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 61 65 78 80 104 120 122 130 156 183 195 208 240 244 260 305 312 366 390 488 520 610 624 732 780 793 915 976 1040 1220 1464 1560 1586 1830 2379 2440 2928 3120 3172 3533 3660 3965 4758 4880 6344 7066 7320 7930 9516 10599 11895 12688 14132 14640 15860 17665 19032 21198 23790 28264 31720 35330 38064 42396 45929 47580 52995 56528 63440 70660 84792 91858 95160 105990 137787 141320 169584 183716 190320 211980 215513 229645 275574 282640 367432 423960 431026 459290 551148 646539 688935 734864 847920 862052 918580 1077565 1102296 1293078 1377870 1724104 1837160 2155130 2204592 2586156 2755740 2801669 3232695 3448208 3674320 4310260 5172312 5511480 5603338 6465390 8405007 8620520 10344624 11022960 11206676 12930780 14008345 16810014 17241040 22413352 25861560 28016690 33620028 42025035 44826704 51723120 56033380 67240056 84050070 112066760 134480112 168100140 224133520 336200280 672400560