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113211360 = 25325292711
BaseRepresentation
bin1101011111101…
…11011111100000
321220000201210100
412233313133200
5212440230420
615122302400
72543165163
oct657673740
9256021710
10113211360
11589a5409
1231ab7a00
131a5bac92
141106dada
159e14190
hex6bf77e0

113211360 has 144 divisors (see below), whose sum is σ = 399803040. Its totient is φ = 29137920.

The previous prime is 113211341. The next prime is 113211361. The reversal of 113211360 is 63112311.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113211361) 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, 40405 + ... + 43115.

It is an arithmetic number, because the mean of its divisors is an integer number (2776410).

Almost surely, 2113211360 is an apocalyptic number.

113211360 is a gapful number since it is divisible by the number (10) 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 113211360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199901520).

113211360 is an abundant number, since it is smaller than the sum of its proper divisors (286591680).

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

113211360 is a wasteful number, since it uses less digits than its factorization.

113211360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 113211360 is about 10640.0827064455. The cubic root of 113211360 is about 483.7600522719.

Adding to 113211360 its reverse (63112311), we get a palindrome (176323671).

The spelling of 113211360 in words is "one hundred thirteen million, two hundred eleven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 348 360 435 464 480 522 580 696 720 870 928 1044 1160 1305 1392 1440 1740 2088 2320 2610 2711 2784 3480 4176 4640 5220 5422 6960 8133 8352 10440 10844 13555 13920 16266 20880 21688 24399 27110 32532 40665 41760 43376 48798 54220 65064 78619 81330 86752 97596 108440 121995 130128 157238 162660 195192 216880 235857 243990 260256 314476 325320 390384 393095 433760 471714 487980 628952 650640 707571 780768 786190 943428 975960 1179285 1257904 1301280 1415142 1572380 1886856 1951920 2358570 2515808 2830284 3144760 3537855 3773712 3903840 4717140 5660568 6289520 7075710 7547424 9434280 11321136 12579040 14151420 18868560 22642272 28302840 37737120 56605680 113211360