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672041040 = 243511833067
BaseRepresentation
bin101000000011101…
…000100001010000
31201211120012222220
4220003220201100
52334020303130
6150404101040
722440153216
oct5003504120
91654505886
10672041040
11315393420
12169094780
13a9300428
146537acb6
153deed410
hex280e8850

672041040 has 160 divisors (see below), whose sum is σ = 2300852736. Its totient is φ = 160903680.

The previous prime is 672041017. The next prime is 672041081. The reversal of 672041040 is 40140276.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 672041040.

It is a congruent number.

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, 217587 + ... + 220653.

Almost surely, 2672041040 is an apocalyptic number.

672041040 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 672041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150426368).

672041040 is an abundant number, since it is smaller than the sum of its proper divisors (1628811696).

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

672041040 is a wasteful number, since it uses less digits than its factorization.

672041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 672041040 is about 25923.7543577314. The cubic root of 672041040 is about 875.9216585140.

The spelling of 672041040 in words is "six hundred seventy-two million, forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 83 88 110 120 132 165 166 176 220 240 249 264 330 332 415 440 498 528 660 664 830 880 913 996 1245 1320 1328 1660 1826 1992 2490 2640 2739 3067 3320 3652 3984 4565 4980 5478 6134 6640 7304 9130 9201 9960 10956 12268 13695 14608 15335 18260 18402 19920 21912 24536 27390 30670 33737 36520 36804 43824 46005 49072 54780 61340 67474 73040 73608 92010 101211 109560 122680 134948 147216 168685 184020 202422 219120 245360 254561 269896 337370 368040 404844 506055 509122 539792 674740 736080 763683 809688 1012110 1018244 1272805 1349480 1527366 1619376 2024220 2036488 2545610 2698960 2800171 3054732 3818415 4048440 4072976 5091220 5600342 6109464 7636830 8096880 8400513 10182440 11200684 12218928 14000855 15273660 16801026 20364880 22401368 28001710 30547320 33602052 42002565 44802736 56003420 61094640 67204104 84005130 112006840 134408208 168010260 224013680 336020520 672041040