Search a number
-
+
3150564100 = 22521731191313
BaseRepresentation
bin1011101111001001…
…1100101100000100
322010120100020110021
42323302130230010
522423021022400
61240343304524
7141034232035
oct27362345404
98116306407
103150564100
111377458492
1273b14b144
133b2950118
1421c5daa8c
151368d571a
hexbbc9cb04

3150564100 has 144 divisors (see below), whose sum is σ = 7535517696. Its totient is φ = 1138176000.

The previous prime is 3150564091. The next prime is 3150564101. The reversal of 3150564100 is 14650513.

3150564100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3150564101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10065544 + ... + 10065856.

It is an arithmetic number, because the mean of its divisors is an integer number (52329984).

Almost surely, 23150564100 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 3150564100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767758848).

3150564100 is an abundant number, since it is smaller than the sum of its proper divisors (4384953596).

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

3150564100 is a wasteful number, since it uses less digits than its factorization.

3150564100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 3150564100 is about 56129.8859788616. The cubic root of 3150564100 is about 1465.9847076359.

The spelling of 3150564100 in words is "three billion, one hundred fifty million, five hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 191 310 313 340 382 425 527 620 626 764 775 850 955 1054 1252 1550 1565 1700 1910 2108 2635 3100 3130 3247 3820 4775 5270 5321 5921 6260 6494 7825 9550 9703 10540 10642 11842 12988 13175 15650 16235 19100 19406 21284 23684 26350 26605 29605 31300 32470 38812 48515 52700 53210 59210 59783 64940 81175 97030 100657 106420 118420 119566 133025 148025 162350 164951 194060 201314 239132 242575 266050 296050 298915 324700 329902 402628 485150 503285 532100 592100 597830 659804 824755 970300 1006570 1016311 1195660 1494575 1649510 1853273 2013140 2032622 2516425 2989150 3299020 3706546 4065244 4123775 5032850 5081555 5978300 7413092 8247550 9266365 10065700 10163110 16495100 18532730 20326220 25407775 31505641 37065460 46331825 50815550 63011282 92663650 101631100 126022564 157528205 185327300 315056410 630112820 787641025 1575282050 3150564100