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9994920 = 23351343149
BaseRepresentation
bin100110001000…
…001010101000
3200210210110020
4212020022220
510024314140
6554120440
7150645465
oct46101250
920723406
109994920
115707371
123420120
1320bc470
14148266c
15d266d0
hex9882a8

9994920 has 128 divisors (see below), whose sum is σ = 33264000. Its totient is φ = 2386944.

The previous prime is 9994913. The next prime is 9994951. The reversal of 9994920 is 294999.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67006 + ... + 67154.

It is an arithmetic number, because the mean of its divisors is an integer number (259875).

Almost surely, 29994920 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 9994920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632000).

9994920 is an abundant number, since it is smaller than the sum of its proper divisors (23269080).

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

9994920 is a wasteful number, since it uses less digits than its factorization.

9994920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 9994920 is about 3161.4743396080. The cubic root of 9994920 is about 215.4069810631.

The spelling of 9994920 in words is "nine million, nine hundred ninety-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 43 52 60 65 78 86 104 120 129 130 149 156 172 195 215 258 260 298 312 344 390 430 447 516 520 559 596 645 745 780 860 894 1032 1118 1192 1290 1490 1560 1677 1720 1788 1937 2235 2236 2580 2795 2980 3354 3576 3874 4470 4472 5160 5590 5811 5960 6407 6708 7748 8385 8940 9685 11180 11622 12814 13416 15496 16770 17880 19221 19370 22360 23244 25628 29055 32035 33540 38442 38740 46488 51256 58110 64070 67080 76884 77480 83291 96105 116220 128140 153768 166582 192210 232440 249873 256280 333164 384420 416455 499746 666328 768840 832910 999492 1249365 1665820 1998984 2498730 3331640 4997460 9994920