Search a number
-
+
836124072 = 23376183983
BaseRepresentation
bin110001110101100…
…011110110101000
32011021022111121020
4301311203312220
53203021432242
6214545012440
726501636340
oct6165436650
92137274536
10836124072
11399a74433
121b4024120
131042c0494
147d08dd20
154d6106ec
hex31d63da8

836124072 has 128 divisors (see below), whose sum is σ = 2459842560. Its totient is φ = 231909120.

The previous prime is 836124049. The next prime is 836124097. The reversal of 836124072 is 270421638.

It is a super-2 number, since 2×8361240722 = 1398206927555722368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850093 + ... + 851075.

It is an arithmetic number, because the mean of its divisors is an integer number (19217520).

Almost surely, 2836124072 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 836124072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229921280).

836124072 is an abundant number, since it is smaller than the sum of its proper divisors (1623718488).

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

836124072 is a wasteful number, since it uses less digits than its factorization.

836124072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 836124072 is about 28915.8100699254. The cubic root of 836124072 is about 942.0853326712.

The spelling of 836124072 in words is "eight hundred thirty-six million, one hundred twenty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 83 84 122 166 168 183 244 249 332 366 427 488 498 581 664 732 854 983 996 1162 1281 1464 1708 1743 1966 1992 2324 2562 2949 3416 3486 3932 4648 5063 5124 5898 6881 6972 7864 10126 10248 11796 13762 13944 15189 20252 20643 23592 27524 30378 35441 40504 41286 55048 59963 60756 70882 81589 82572 106323 119926 121512 141764 163178 165144 179889 212646 239852 244767 283528 326356 359778 419741 425292 479704 489534 571123 652712 719556 839482 850584 979068 1142246 1259223 1439112 1678964 1713369 1958136 2284492 2518446 3357928 3426738 4568984 4976929 5036892 6853476 9953858 10073784 13706952 14930787 19907716 29861574 34838503 39815432 59723148 69677006 104515509 119446296 139354012 209031018 278708024 418062036 836124072