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713784096 = 25331943481
BaseRepresentation
bin101010100010110…
…111101100100000
31211202002222201000
4222202313230200
52430212042341
6154454512000
723455031124
oct5242675440
91752088630
10713784096
11336a04613
1217b065600
13b4b5746c
146ab25584
15429e68b6
hex2a8b7b20

713784096 has 96 divisors (see below), whose sum is σ = 2191492800. Its totient is φ = 225400320.

The previous prime is 713784091. The next prime is 713784101. The reversal of 713784096 is 690487317.

It is an interprime number because it is at equal distance from previous prime (713784091) and next prime (713784101).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (713784091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5325 + ... + 38156.

It is an arithmetic number, because the mean of its divisors is an integer number (22828050).

Almost surely, 2713784096 is an apocalyptic number.

713784096 is a gapful number since it is divisible by the number (76) 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 713784096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095746400).

713784096 is an abundant number, since it is smaller than the sum of its proper divisors (1477708704).

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

713784096 is a wasteful number, since it uses less digits than its factorization.

713784096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43519 (or 43505 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 713784096 is about 26716.7381242546. The cubic root of 713784096 is about 893.6942335263.

The spelling of 713784096 in words is "seven hundred thirteen million, seven hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 43481 86962 130443 173924 260886 347848 391329 521772 695696 782658 826139 1043544 1173987 1391392 1565316 1652278 2087088 2347974 2478417 3130632 3304556 4174176 4695948 4956834 6261264 6609112 7435251 9391896 9913668 12522528 13218224 14870502 18783792 19827336 22305753 26436448 29741004 37567584 39654672 44611506 59482008 79309344 89223012 118964016 178446024 237928032 356892048 713784096