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763663740 = 2235714912203
BaseRepresentation
bin101101100001001…
…001010101111100
31222012222010201020
4231201021111330
53030444214430
6203435544140
724632014620
oct5541112574
91865863636
10763663740
11362082964
121938bb050
13c229cb48
14735cb180
154709ab10
hex2d84957c

763663740 has 96 divisors (see below), whose sum is σ = 2460326400. Its totient is φ = 173366016.

The previous prime is 763663739. The next prime is 763663741. The reversal of 763663740 is 47366367.

763663740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (763663739) and next prime (763663741).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 763663692 and 763663701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763663741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56479 + ... + 68681.

It is an arithmetic number, because the mean of its divisors is an integer number (25628400).

Almost surely, 2763663740 is an apocalyptic number.

763663740 is a gapful number since it is divisible by the number (70) 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 763663740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230163200).

763663740 is an abundant number, since it is smaller than the sum of its proper divisors (1696662660).

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

763663740 is a wasteful number, since it uses less digits than its factorization.

763663740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12371 (or 12369 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The square root of 763663740 is about 27634.4665228045. The cubic root of 763663740 is about 914.0446058094.

The spelling of 763663740 in words is "seven hundred sixty-three million, six hundred sixty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 149 210 298 420 447 596 745 894 1043 1490 1788 2086 2235 2980 3129 4172 4470 5215 6258 8940 10430 12203 12516 15645 20860 24406 31290 36609 48812 61015 62580 73218 85421 122030 146436 170842 183045 244060 256263 341684 366090 427105 512526 732180 854210 1025052 1281315 1708420 1818247 2562630 3636494 5125260 5454741 7272988 9091235 10909482 12727729 18182470 21818964 25455458 27273705 36364940 38183187 50910916 54547410 63638645 76366374 109094820 127277290 152732748 190915935 254554580 381831870 763663740