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11370996 = 2233713289
BaseRepresentation
bin101011011000…
…000111110100
3210101201002000
4223120013310
510402332441
61043415300
7165436410
oct53300764
923351060
1011370996
11646721a
123984530
132481900
14171dd40
15ee92b6
hexad81f4

11370996 has 144 divisors (see below), whose sum is σ = 36892800. Its totient is φ = 2965248.

The previous prime is 11370971. The next prime is 11371027. The reversal of 11370996 is 69907311.

11370996 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11370996.

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, 127720 + ... + 127808.

It is an arithmetic number, because the mean of its divisors is an integer number (256200).

Almost surely, 211370996 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 11370996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446400).

11370996 is an abundant number, since it is smaller than the sum of its proper divisors (25521804).

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

11370996 is a wasteful number, since it uses less digits than its factorization.

11370996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 11370996 is about 3372.0907461099. The cubic root of 11370996 is about 224.8706812438.

The spelling of 11370996 in words is "eleven million, three hundred seventy thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 89 91 108 117 126 156 169 178 182 189 234 252 267 273 338 351 356 364 378 468 507 534 546 623 676 702 756 801 819 1014 1068 1092 1157 1183 1246 1404 1521 1602 1638 1869 2028 2314 2366 2403 2457 2492 3042 3204 3276 3471 3549 3738 4563 4628 4732 4806 4914 5607 6084 6942 7098 7476 8099 9126 9612 9828 10413 10647 11214 13884 14196 15041 16198 16821 18252 20826 21294 22428 24297 30082 31239 31941 32396 33642 41652 42588 45123 48594 60164 62478 63882 67284 72891 90246 97188 105287 124956 127764 135369 145782 180492 210574 218673 270738 291564 315861 406107 421148 437346 541476 631722 812214 874692 947583 1263444 1624428 1895166 2842749 3790332 5685498 11370996