Search a number
-
+
1010939616 = 2534794937
BaseRepresentation
bin111100010000011…
…011011011100000
32121110021001110000
4330100123123200
54032300031431
6244151540000
734023562551
oct7420333340
92543231400
101010939616
11479715995
1224268a600
1313159a62b
1498398328
155db429e6
hex3c41b6e0

1010939616 has 120 divisors (see below), whose sum is σ = 3011389920. Its totient is φ = 332646912.

The previous prime is 1010939549. The next prime is 1010939627. The reversal of 1010939616 is 6169390101.

1010939616 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 9 + 39 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 202300 + ... + 207236.

It is an arithmetic number, because the mean of its divisors is an integer number (25094916).

Almost surely, 21010939616 is an apocalyptic number.

1010939616 is a gapful number since it is divisible by the number (16) 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 1010939616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505694960).

1010939616 is an abundant number, since it is smaller than the sum of its proper divisors (2000450304).

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

1010939616 is an equidigital number, since it uses as much as digits as its factorization.

1010939616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1010939616 is about 31795.2766303424. The cubic root of 1010939616 is about 1003.6333216526.

The spelling of 1010939616 in words is "one billion, ten million, nine hundred thirty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 81 96 108 144 158 162 216 237 288 316 324 432 474 632 648 711 864 948 1264 1296 1422 1896 2133 2528 2592 2844 3792 4266 4937 5688 6399 7584 8532 9874 11376 12798 14811 17064 19748 22752 25596 29622 34128 39496 44433 51192 59244 68256 78992 88866 102384 118488 133299 157984 177732 204768 236976 266598 355464 390023 399897 473952 533196 710928 780046 799794 1066392 1170069 1421856 1560092 1599588 2132784 2340138 3120184 3199176 3510207 4265568 4680276 6240368 6398352 7020414 9360552 10530621 12480736 12796704 14040828 18721104 21061242 28081656 31591863 37442208 42122484 56163312 63183726 84244968 112326624 126367452 168489936 252734904 336979872 505469808 1010939616