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11993652 = 22321131977
BaseRepresentation
bin101101110000…
…001000110100
3211120100012100
4231300020310
511032244102
61105022100
7203641626
oct55601064
924510170
1011993652
116852010
124024930
13263c148
141842c16
1510bda1c
hexb70234

11993652 has 72 divisors (see below), whose sum is σ = 34175232. Its totient is φ = 3513600.

The previous prime is 11993593. The next prime is 11993659. The reversal of 11993652 is 25639911.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11993659) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11788 + ... + 12764.

It is an arithmetic number, because the mean of its divisors is an integer number (474656).

Almost surely, 211993652 is an apocalyptic number.

11993652 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 11993652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17087616).

11993652 is an abundant number, since it is smaller than the sum of its proper divisors (22181580).

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

11993652 is a wasteful number, since it uses less digits than its factorization.

11993652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1024 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 11993652 is about 3463.1852390538. The cubic root of 11993652 is about 228.9024711343.

It can be divided in two parts, 1199 and 3652, that added together give a triangular number (4851 = T98).

The spelling of 11993652 in words is "eleven million, nine hundred ninety-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 977 1023 1116 1364 1954 2046 2931 3069 3908 4092 5862 6138 8793 10747 11724 12276 17586 21494 30287 32241 35172 42988 60574 64482 90861 96723 121148 128964 181722 193446 272583 333157 363444 386892 545166 666314 999471 1090332 1332628 1998942 2998413 3997884 5996826 11993652