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1214940732 = 2232937157601
BaseRepresentation
bin100100001101010…
…1000011000111100
310010200010101100220
41020122220120330
54442011100412
6320320221340
742051553155
oct11032503074
93120111326
101214940732
11573890a55
1229aa6a850
13164925b55
14b74dc92c
15719dc68c
hex486a863c

1214940732 has 96 divisors (see below), whose sum is σ = 3036102720. Its totient is φ = 377395200.

The previous prime is 1214940719. The next prime is 1214940733. The reversal of 1214940732 is 2370494121.

It is a junction number, because it is equal to n+sod(n) for n = 1214940693 and 1214940702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214940733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2021232 + ... + 2021832.

It is an arithmetic number, because the mean of its divisors is an integer number (31626070).

Almost surely, 21214940732 is an apocalyptic number.

1214940732 is a gapful number since it is divisible by the number (12) 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 1214940732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518051360).

1214940732 is an abundant number, since it is smaller than the sum of its proper divisors (1821161988).

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

1214940732 is a wasteful number, since it uses less digits than its factorization.

1214940732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1214940732 is about 34855.9999426211. Note that the first 4 decimals coincide. The cubic root of 1214940732 is about 1067.0506404515.

The spelling of 1214940732 in words is "one billion, two hundred fourteen million, nine hundred forty thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 157 174 222 314 348 444 471 601 628 942 1073 1202 1803 1884 2146 2404 3219 3606 4292 4553 5809 6438 7212 9106 11618 12876 13659 17427 17429 18212 22237 23236 27318 34854 34858 44474 52287 54636 66711 69708 69716 88948 94357 104574 133422 168461 188714 209148 266844 283071 336922 377428 505383 566142 644873 673844 1010766 1132284 1289746 1934619 2021532 2579492 2736353 3491209 3869238 5472706 6982418 7738476 8209059 10473627 10945412 13964836 16418118 20947254 32836236 41894508 101245061 202490122 303735183 404980244 607470366 1214940732