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11374920 = 23325191663
BaseRepresentation
bin101011011001…
…000101001000
3210101220110100
4223121011020
510402444140
61043445400
7165454014
oct53310510
923356410
1011374920
11646a167
123986860
13248362b
141721544
15eea530
hexad9148

11374920 has 96 divisors (see below), whose sum is σ = 38937600. Its totient is φ = 2871936.

The previous prime is 11374897. The next prime is 11374943. The reversal of 11374920 is 2947311.

It is an interprime number because it is at equal distance from previous prime (11374897) and next prime (11374943).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6009 + ... + 7671.

It is an arithmetic number, because the mean of its divisors is an integer number (405600).

Almost surely, 211374920 is an apocalyptic number.

11374920 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 11374920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19468800).

11374920 is an abundant number, since it is smaller than the sum of its proper divisors (27562680).

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

11374920 is a wasteful number, since it uses less digits than its factorization.

11374920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 11374920 is about 3372.6725307981. The cubic root of 11374920 is about 224.8965450313.

The spelling of 11374920 in words is "eleven million, three hundred seventy-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1663 1710 2280 3326 3420 4989 6652 6840 8315 9978 13304 14967 16630 19956 24945 29934 31597 33260 39912 49890 59868 63194 66520 74835 94791 99780 119736 126388 149670 157985 189582 199560 252776 284373 299340 315970 379164 473955 568746 598680 631940 758328 947910 1137492 1263880 1421865 1895820 2274984 2843730 3791640 5687460 11374920