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11419968 = 263729293
BaseRepresentation
bin101011100100…
…000101000000
3210111012020210
4223210011000
510410414333
61044434120
7166032240
oct53440500
923435223
1011419968
11649aa9a
1239a8940
13249aca1
141733b20
151008a63
hexae4140

11419968 has 112 divisors (see below), whose sum is σ = 35844480. Its totient is φ = 3139584.

The previous prime is 11419951. The next prime is 11419999. The reversal of 11419968 is 86991411.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38830 + ... + 39122.

It is an arithmetic number, because the mean of its divisors is an integer number (320040).

Almost surely, 211419968 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 11419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922240).

11419968 is an abundant number, since it is smaller than the sum of its proper divisors (24424512).

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

11419968 is a wasteful number, since it uses less digits than its factorization.

11419968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its digits is 15552, while the sum is 39.

The square root of 11419968 is about 3379.3443151002. The cubic root of 11419968 is about 225.1930392724.

The spelling of 11419968 in words is "eleven million, four hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 293 336 348 406 448 464 586 609 672 696 812 879 928 1172 1218 1344 1392 1624 1758 1856 2051 2344 2436 2784 3248 3516 4102 4688 4872 5568 6153 6496 7032 8204 8497 9376 9744 12306 12992 14064 16408 16994 18752 19488 24612 25491 28128 32816 33988 38976 49224 50982 56256 59479 65632 67976 98448 101964 118958 131264 135952 178437 196896 203928 237916 271904 356874 393792 407856 475832 543808 713748 815712 951664 1427496 1631424 1903328 2854992 3806656 5709984 11419968