Search a number
-
+
956769030 = 233574112347
BaseRepresentation
bin111001000001110…
…010001100000110
32110200022220101000
4321001302030012
53424413102110
6234534514130
732465255040
oct7101621406
92420286330
10956769030
11451086808
12228505946
131232b1b29
14910d6a90
1558ee21c0
hex39072306

956769030 has 128 divisors (see below), whose sum is σ = 2987228160. Its totient is φ = 213338880.

The previous prime is 956769017. The next prime is 956769053. The reversal of 956769030 is 30967659.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71317 + ... + 83663.

It is an arithmetic number, because the mean of its divisors is an integer number (23337720).

Almost surely, 2956769030 is an apocalyptic number.

956769030 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 956769030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493614080).

956769030 is an abundant number, since it is smaller than the sum of its proper divisors (2030459130).

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

956769030 is a wasteful number, since it uses less digits than its factorization.

956769030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12411 (or 12405 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 956769030 is about 30931.6832713643. The cubic root of 956769030 is about 985.3768834428.

The spelling of 956769030 in words is "nine hundred fifty-six million, seven hundred sixty-nine thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 41 42 45 54 63 70 82 90 105 123 126 135 189 205 210 246 270 287 315 369 378 410 574 615 630 738 861 945 1107 1230 1435 1722 1845 1890 2214 2583 2870 3690 4305 5166 5535 7749 8610 11070 12347 12915 15498 24694 25830 37041 38745 61735 74082 77490 86429 111123 123470 172858 185205 222246 259287 333369 370410 432145 506227 518574 555615 666738 777861 864290 1012454 1111230 1296435 1518681 1555722 1666845 2333583 2531135 2592870 3037362 3333690 3543589 3889305 4556043 4667166 5062270 7087178 7593405 7778610 9112086 10630767 11667915 13668129 15186810 17717945 21261534 22780215 23335830 27336258 31892301 35435890 45560430 53153835 63784602 68340645 95676903 106307670 136681290 159461505 191353806 318923010 478384515 956769030