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21113976 = 23313313759
BaseRepresentation
bin101000010001…
…0110001111000
31110201200221010
41100202301320
520401121401
62032313520
7344315532
oct120426170
943650833
1021113976
1110a11274
1270a28a0
1344b34a0
142b38852
151cc0ed6
hex1422c78

21113976 has 128 divisors (see below), whose sum is σ = 61286400. Its totient is φ = 6013440.

The previous prime is 21113971. The next prime is 21113987. The reversal of 21113976 is 67931112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21113971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357835 + ... + 357893.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 221113976 is an apocalyptic number.

21113976 is a gapful number since it is divisible by the number (26) 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 21113976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30643200).

21113976 is an abundant number, since it is smaller than the sum of its proper divisors (40172424).

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

21113976 is a wasteful number, since it uses less digits than its factorization.

21113976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its digits is 2268, while the sum is 30.

The square root of 21113976 is about 4594.9946681144. The cubic root of 21113976 is about 276.3906461525.

The spelling of 21113976 in words is "twenty-one million, one hundred thirteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 37 39 52 59 62 74 78 93 104 111 118 124 148 156 177 186 222 236 248 296 312 354 372 403 444 472 481 708 744 767 806 888 962 1147 1209 1416 1443 1534 1612 1829 1924 2183 2294 2301 2418 2886 3068 3224 3441 3658 3848 4366 4588 4602 4836 5487 5772 6136 6549 6882 7316 8732 9176 9204 9672 10974 11544 13098 13764 14632 14911 17464 18408 21948 23777 26196 27528 28379 29822 43896 44733 47554 52392 56758 59644 67673 71331 85137 89466 95108 113516 119288 135346 142662 170274 178932 190216 203019 227032 270692 285324 340548 357864 406038 541384 570648 681096 812076 879749 1624152 1759498 2639247 3518996 5278494 7037992 10556988 21113976