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672960240 = 243251949193
BaseRepresentation
bin101000000111001…
…000111011110000
31201220021220220100
4220013020323300
52334234211430
6150435512400
722451032131
oct5007107360
91656256810
10672960240
11315960a97
12169458700
13a9562934
1465539c88
153e130960
hex281c8ef0

672960240 has 120 divisors (see below), whose sum is σ = 2379021840. Its totient is φ = 170007552.

The previous prime is 672960229. The next prime is 672960263. The reversal of 672960240 is 42069276.

It is a happy number.

672960240 is a `hidden beast` number, since 6 + 7 + 2 + 9 + 602 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 672960195 and 672960204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10917 + ... + 38276.

It is an arithmetic number, because the mean of its divisors is an integer number (19825182).

Almost surely, 2672960240 is an apocalyptic number.

672960240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

672960240 is an abundant number, since it is smaller than the sum of its proper divisors (1706061600).

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

672960240 is a wasteful number, since it uses less digits than its factorization.

672960240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49231 (or 49222 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 672960240 is about 25941.4772131427. The cubic root of 672960240 is about 876.3208307534.

The spelling of 672960240 in words is "six hundred seventy-two million, nine hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 49193 98386 147579 196772 245965 295158 393544 442737 491930 590316 737895 787088 885474 934667 983860 1180632 1475790 1770948 1869334 1967720 2213685 2361264 2804001 2951580 3541896 3738668 3935440 4427370 4673335 5608002 5903160 7083792 7477336 8412003 8854740 9346670 11216004 11806320 14020005 14954672 16824006 17709480 18693340 22432008 28040010 33648012 35418960 37386680 42060015 44864016 56080020 67296024 74773360 84120030 112160040 134592048 168240060 224320080 336480120 672960240