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2380765440 = 28352921379
BaseRepresentation
bin1000110111100111…
…1001100100000000
320010220211102012210
42031321321210000
514333433443230
61032124022120
7112666113054
oct21571714400
96126742183
102380765440
111011975349
12565391940
132bc312a61
14188293c64
15de026eb0
hex8de79900

2380765440 has 144 divisors (see below), whose sum is σ = 7866129600. Its totient is φ = 612950016.

The previous prime is 2380765433. The next prime is 2380765441. The reversal of 2380765440 is 445670832.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2380765441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100671 + ... + 122049.

It is an arithmetic number, because the mean of its divisors is an integer number (54625900).

Almost surely, 22380765440 is an apocalyptic number.

2380765440 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 2380765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933064800).

2380765440 is an abundant number, since it is smaller than the sum of its proper divisors (5485364160).

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

2380765440 is a wasteful number, since it uses less digits than its factorization.

2380765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21432 (or 21418 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2380765440 is about 48793.0880350896. The cubic root of 2380765440 is about 1335.2795666386.

The spelling of 2380765440 in words is "two billion, three hundred eighty million, seven hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 640 696 768 870 928 960 1160 1280 1392 1740 1856 1920 2320 2784 3480 3712 3840 4640 5568 6960 7424 9280 11136 13920 18560 21379 22272 27840 37120 42758 55680 64137 85516 106895 111360 128274 171032 213790 256548 320685 342064 427580 513096 619991 641370 684128 855160 1026192 1239982 1282740 1368256 1710320 1859973 2052384 2479964 2565480 2736512 3099955 3420640 3719946 4104768 4959928 5130960 5473024 6199910 6841280 7439892 8209536 9299865 9919856 10261920 12399820 13682560 14879784 16419072 18599730 19839712 20523840 24799640 27365120 29759568 37199460 39679424 41047680 49599280 59519136 74398920 79358848 82095360 99198560 119038272 148797840 158717696 198397120 238076544 297595680 396794240 476153088 595191360 793588480 1190382720 2380765440