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713190400 = 21052132143
BaseRepresentation
bin101010100000100…
…110110000000000
31211200222211022021
4222200212300000
52430034043100
6154434051224
723450006206
oct5240466000
91750884267
10713190400
1133663955a
1217aa19b14
13b49aa170
146aa0d076
154292aa1a
hex2a826c00

713190400 has 132 divisors (see below), whose sum is σ = 1904725312. Its totient is φ = 263208960.

The previous prime is 713190397. The next prime is 713190521. The reversal of 713190400 is 4091317.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331729 + ... + 333871.

Almost surely, 2713190400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952362656).

713190400 is an abundant number, since it is smaller than the sum of its proper divisors (1191534912).

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

713190400 is a wasteful number, since it uses less digits than its factorization.

713190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 713190400 is about 26705.6248756699. The cubic root of 713190400 is about 893.4463855341.

The spelling of 713190400 in words is "seven hundred thirteen million, one hundred ninety thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 512 520 640 650 800 832 1024 1040 1280 1300 1600 1664 2080 2143 2560 2600 3200 3328 4160 4286 5120 5200 6400 6656 8320 8572 10400 10715 12800 13312 16640 17144 20800 21430 25600 27859 33280 34288 41600 42860 53575 55718 66560 68576 83200 85720 107150 111436 137152 139295 166400 171440 214300 222872 274304 278590 332800 342880 428600 445744 548608 557180 685760 696475 857200 891488 1097216 1114360 1371520 1392950 1714400 1782976 2194432 2228720 2743040 2785900 3428800 3565952 4457440 5486080 5571800 6857600 7131904 8914880 10972160 11143600 13715200 14263808 17829760 22287200 27430400 28527616 35659520 44574400 54860800 71319040 89148800 142638080 178297600 356595200 713190400