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2107389920 = 25531835119
BaseRepresentation
bin111110110011100…
…0011011111100000
312102212102111111112
41331213003133200
513303442434140
6545040402452
7103136342636
oct17547033740
95385374445
102107389920
11991626269
124a9916428
132777a76ac
1415dc51356
15c5026c65
hex7d9c37e0

2107389920 has 96 divisors (see below), whose sum is σ = 5202247680. Its totient is φ = 805777920.

The previous prime is 2107389919. The next prime is 2107389943. The reversal of 2107389920 is 299837012.

It is a happy number.

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, 409121 + ... + 414239.

It is an arithmetic number, because the mean of its divisors is an integer number (54190080).

Almost surely, 22107389920 is an apocalyptic number.

2107389920 is a gapful number since it is divisible by the number (20) 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 2107389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601123840).

2107389920 is an abundant number, since it is smaller than the sum of its proper divisors (3094857760).

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

2107389920 is a wasteful number, since it uses less digits than its factorization.

2107389920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5248 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 2107389920 is about 45906.3167766703. The cubic root of 2107389920 is about 1282.0795298545.

The spelling of 2107389920 in words is "two billion, one hundred seven million, three hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 83 124 155 160 166 248 310 332 415 496 620 664 830 992 1240 1328 1660 2480 2573 2656 3320 4960 5119 5146 6640 10238 10292 12865 13280 20476 20584 25595 25730 40952 41168 51190 51460 81904 82336 102380 102920 158689 163808 204760 205840 317378 409520 411680 424877 634756 793445 819040 849754 1269512 1586890 1699508 2124385 2539024 3173780 3399016 4248770 5078048 6347560 6798032 8497540 12695120 13171187 13596064 16995080 25390240 26342374 33990160 52684748 65855935 67980320 105369496 131711870 210738992 263423740 421477984 526847480 1053694960 2107389920