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671239680 = 2935711231
BaseRepresentation
bin101000000000100…
…100111000000000
31201210001111201220
4220000210320000
52333314132210
6150334555040
722430304666
oct5000447000
91653044656
10671239680
11314996341
12168968a80
13a90ac757
146520cc36
153dde0c70
hex28024e00

671239680 has 160 divisors (see below), whose sum is σ = 2177860608. Its totient is φ = 176332800.

The previous prime is 671239661. The next prime is 671239687. The reversal of 671239680 is 86932176.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671239687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544665 + ... + 545895.

Almost surely, 2671239680 is an apocalyptic number.

671239680 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 671239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088930304).

671239680 is an abundant number, since it is smaller than the sum of its proper divisors (1506620928).

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

671239680 is a wasteful number, since it uses less digits than its factorization.

671239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 671239680 is about 25908.2936528055. The cubic root of 671239680 is about 875.5733624412.

The spelling of 671239680 in words is "six hundred seventy-one million, two hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 240 256 284 320 355 384 426 480 512 568 640 710 768 852 960 1065 1136 1231 1280 1420 1536 1704 1920 2130 2272 2462 2560 2840 3408 3693 3840 4260 4544 4924 5680 6155 6816 7386 7680 8520 9088 9848 11360 12310 13632 14772 17040 18176 18465 19696 22720 24620 27264 29544 34080 36352 36930 39392 45440 49240 54528 59088 68160 73860 78784 87401 90880 98480 109056 118176 136320 147720 157568 174802 181760 196960 236352 262203 272640 295440 315136 349604 393920 437005 472704 524406 545280 590880 630272 699208 787840 874010 945408 1048812 1181760 1311015 1398416 1575680 1748020 1890816 2097624 2363520 2622030 2796832 3151360 3496040 4195248 4727040 5244060 5593664 6992080 8390496 9454080 10488120 11187328 13984160 16780992 20976240 22374656 27968320 33561984 41952480 44749312 55936640 67123968 83904960 111873280 134247936 167809920 223746560 335619840 671239680