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315053400 = 23352737193
BaseRepresentation
bin10010110001110…
…101010101011000
3210221211101000110
4102301311111120
51121123202100
651132404320
710543624014
oct2261652530
9727741013
10315053400
11151926312
12896166a0
135036b83c
142dbb1544
151c9d4250
hex12c75558

315053400 has 96 divisors (see below), whose sum is σ = 990182160. Its totient is φ = 82851840.

The previous prime is 315053399. The next prime is 315053407. The reversal of 315053400 is 4350513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315053407) 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, 40204 + ... + 47396.

Almost surely, 2315053400 is an apocalyptic number.

315053400 is a gapful number since it is divisible by the number (30) 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 315053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495091080).

315053400 is an abundant number, since it is smaller than the sum of its proper divisors (675128760).

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

315053400 is a wasteful number, since it uses less digits than its factorization.

315053400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7285 (or 7276 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 315053400 is about 17749.7436601208. The cubic root of 315053400 is about 680.4476579434.

The spelling of 315053400 in words is "three hundred fifteen million, fifty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 146 150 200 219 292 300 365 438 584 600 730 876 1095 1460 1752 1825 2190 2920 3650 4380 5475 7193 7300 8760 10950 14386 14600 21579 21900 28772 35965 43158 43800 57544 71930 86316 107895 143860 172632 179825 215790 287720 359650 431580 525089 539475 719300 863160 1050178 1078950 1438600 1575267 2100356 2157900 2625445 3150534 4200712 4315800 5250890 6301068 7876335 10501780 12602136 13127225 15752670 21003560 26254450 31505340 39381675 52508900 63010680 78763350 105017800 157526700 315053400