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713067040 = 25571722203
BaseRepresentation
bin101010100000001…
…000101000100000
31211200202120002101
4222200020220200
52430021121130
6154431300144
723445653440
oct5240105040
91750676071
10713067040
11336564904
1217a97a654
13b4965c7a
146a9ba120
15429041ca
hex2a808a20

713067040 has 144 divisors (see below), whose sum is σ = 2046123072. Its totient is φ = 229994496.

The previous prime is 713067037. The next prime is 713067041. The reversal of 713067040 is 40760317.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (713067041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322579 + ... + 324781.

It is an arithmetic number, because the mean of its divisors is an integer number (14209188).

Almost surely, 2713067040 is an apocalyptic number.

713067040 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 713067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023061536).

713067040 is an abundant number, since it is smaller than the sum of its proper divisors (1333056032).

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

713067040 is a wasteful number, since it uses less digits than its factorization.

713067040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 713067040 is about 26703.3151499959. The cubic root of 713067040 is about 893.3948696503.

The spelling of 713067040 in words is "seven hundred thirteen million, sixty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 289 340 476 544 560 578 595 680 952 1120 1156 1190 1360 1445 1904 2023 2203 2312 2380 2720 2890 3808 4046 4406 4624 4760 5780 8092 8812 9248 9520 10115 11015 11560 15421 16184 17624 19040 20230 22030 23120 30842 32368 35248 37451 40460 44060 46240 61684 64736 70496 74902 77105 80920 88120 123368 149804 154210 161840 176240 187255 246736 262157 299608 308420 323680 352480 374510 493472 524314 599216 616840 636667 749020 1048628 1198432 1233680 1273334 1310785 1498040 2097256 2467360 2546668 2621570 2996080 3183335 4194512 4456669 5093336 5243140 5992160 6366670 8389024 8913338 10186672 10486280 12733340 17826676 20373344 20972560 22283345 25466680 35653352 41945120 44566690 50933360 71306704 89133380 101866720 142613408 178266760 356533520 713067040