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11907072 = 212321719
BaseRepresentation
bin101101011011…
…000000000000
3211101221102200
4231123000000
511022011242
61103113200
7203131332
oct55330000
924357380
1011907072
1167a2a61
123ba2800
13260b908
14181d452
1510a304c
hexb5b000

11907072 has 156 divisors (see below), whose sum is σ = 38333880. Its totient is φ = 3538944.

The previous prime is 11907061. The next prime is 11907073. The reversal of 11907072 is 27070911.

It is a super-2 number, since 2×119070722 = 283556727226368, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11907073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626679 + ... + 626697.

It is an arithmetic number, because the mean of its divisors is an integer number (245730).

Almost surely, 211907072 is an apocalyptic number.

11907072 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 11907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19166940).

11907072 is an abundant number, since it is smaller than the sum of its proper divisors (26426808).

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

11907072 is a wasteful number, since it uses less digits than its factorization.

11907072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 11907072 is about 3450.6625450774. The cubic root of 11907072 is about 228.3503385965.

Adding to 11907072 its reverse (27070911), we get a palindrome (38977983).

The spelling of 11907072 in words is "eleven million, nine hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 32 34 36 38 48 51 57 64 68 72 76 96 102 114 128 136 144 152 153 171 192 204 228 256 272 288 304 306 323 342 384 408 456 512 544 576 608 612 646 684 768 816 912 969 1024 1088 1152 1216 1224 1292 1368 1536 1632 1824 1938 2048 2176 2304 2432 2448 2584 2736 2907 3072 3264 3648 3876 4096 4352 4608 4864 4896 5168 5472 5814 6144 6528 7296 7752 8704 9216 9728 9792 10336 10944 11628 12288 13056 14592 15504 17408 18432 19456 19584 20672 21888 23256 26112 29184 31008 34816 36864 38912 39168 41344 43776 46512 52224 58368 62016 69632 77824 78336 82688 87552 93024 104448 116736 124032 156672 165376 175104 186048 208896 233472 248064 313344 330752 350208 372096 496128 626688 661504 700416 744192 992256 1323008 1488384 1984512 2976768 3969024 5953536 11907072