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1084961332 = 2272131973307
BaseRepresentation
bin100000010101011…
…0011001000110100
32210121112202011001
41000222303020310
54210222230312
6255354253044
735613006400
oct10052631064
92717482131
101084961332
11507483564
12263427184
13143a16870
14a4146100
15653b5057
hex40ab3234

1084961332 has 144 divisors (see below), whose sum is σ = 2546322240. Its totient is φ = 399748608.

The previous prime is 1084961329. The next prime is 1084961341. The reversal of 1084961332 is 2331694801.

It is a junction number, because it is equal to n+sod(n) for n = 1084961291 and 1084961300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3533923 + ... + 3534229.

Almost surely, 21084961332 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 1084961332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273161120).

1084961332 is an abundant number, since it is smaller than the sum of its proper divisors (1461360908).

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

1084961332 is a wasteful number, since it uses less digits than its factorization.

1084961332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 1084961332 is about 32938.7512210163. The cubic root of 1084961332 is about 1027.5542347592.

The spelling of 1084961332 in words is "one billion, eighty-four million, nine hundred sixty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 73 76 91 98 133 146 182 196 247 266 292 307 364 494 511 532 614 637 931 949 988 1022 1228 1274 1387 1729 1862 1898 2044 2149 2548 2774 3458 3577 3724 3796 3991 4298 5548 5833 6643 6916 7154 7982 8596 9709 11666 12103 13286 14308 15043 15964 18031 19418 22411 23332 24206 26572 27937 30086 36062 38836 40831 44822 46501 48412 55874 60172 67963 72124 75829 81662 89644 93002 111748 126217 135926 151658 156877 163324 186004 195559 252434 271852 285817 291343 303316 313754 391118 425809 504868 530803 571634 582686 627508 782236 851618 883519 1061606 1098139 1143268 1165372 1703236 1767038 2039401 2123212 2196278 2980663 3534076 3715621 4078802 4392556 5535517 5961326 7431242 8157604 11071034 11922652 14275807 14862484 20864641 22142068 28551614 38748619 41729282 57103228 77497238 83458564 154994476 271240333 542480666 1084961332