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1099946952 = 233413373529
BaseRepresentation
bin100000110001111…
…1101101111001000
32211122202002120000
41001203331233020
54223041300302
6301051403000
736154252266
oct10143755710
92748662500
101099946952
11514989475
12268453460
13146b627b0
14a6127436
156687531c
hex418fdbc8

1099946952 has 160 divisors (see below), whose sum is σ = 3408497400. Its totient is φ = 329204736.

The previous prime is 1099946933. The next prime is 1099946957. The reversal of 1099946952 is 2596499901.

It can be written as a sum of positive squares in 4 ways, for example, as 751527396 + 348419556 = 27414^2 + 18666^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1099946957) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 309924 + ... + 313452.

Almost surely, 21099946952 is an apocalyptic number.

1099946952 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 1099946952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704248700).

1099946952 is an abundant number, since it is smaller than the sum of its proper divisors (2308550448).

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

1099946952 is a wasteful number, since it uses less digits than its factorization.

1099946952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The square root of 1099946952 is about 33165.4481652216. The cubic root of 1099946952 is about 1032.2635211303.

The spelling of 1099946952 in words is "one billion, ninety-nine million, nine hundred forty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 37 39 52 54 72 74 78 81 104 108 111 117 148 156 162 216 222 234 296 312 324 333 351 444 468 481 648 666 702 888 936 962 999 1053 1332 1404 1443 1924 1998 2106 2664 2808 2886 2997 3529 3848 3996 4212 4329 5772 5994 7058 7992 8424 8658 10587 11544 11988 12987 14116 17316 21174 23976 25974 28232 31761 34632 38961 42348 45877 51948 63522 77922 84696 91754 95283 103896 127044 130573 137631 155844 183508 190566 254088 261146 275262 285849 311688 367016 381132 391719 412893 522292 550524 571698 762264 783438 825786 1044584 1101048 1143396 1175157 1238679 1566876 1651572 1697449 2286792 2350314 2477358 3133752 3303144 3394898 3525471 3716037 4700628 4954716 5092347 6789796 7050942 7432074 9401256 9909432 10184694 10576413 13579592 14101884 14864148 15277041 20369388 21152826 28203768 29728296 30554082 40738776 42305652 45831123 61108164 84611304 91662246 122216328 137493369 183324492 274986738 366648984 549973476 1099946952