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2380371240 = 2335131679137
BaseRepresentation
bin1000110111100001…
…1001010100101000
320010220002101110210
42031320121110220
514333333334430
61032111341120
7112662551562
oct21570312450
96126071423
102380371240
111011726165
125652217a0
132bc2054c0
141881d0332
15dde9a2b0
hex8de19528

2380371240 has 128 divisors (see below), whose sum is σ = 7737327360. Its totient is φ = 582365184.

The previous prime is 2380371233. The next prime is 2380371241. The reversal of 2380371240 is 421730832.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2380371198 and 2380371207.

It is not an unprimeable number, because it can be changed into a prime (2380371241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255952 + ... + 265088.

It is an arithmetic number, because the mean of its divisors is an integer number (60447870).

Almost surely, 22380371240 is an apocalyptic number.

2380371240 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 2380371240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868663680).

2380371240 is an abundant number, since it is smaller than the sum of its proper divisors (5356956120).

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

2380371240 is a wasteful number, since it uses less digits than its factorization.

2380371240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9331 (or 9327 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2380371240 is about 48789.0483612870. The cubic root of 2380371240 is about 1335.2058653756.

The spelling of 2380371240 in words is "two billion, three hundred eighty million, three hundred seventy-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 167 195 260 312 334 390 501 520 668 780 835 1002 1336 1560 1670 2004 2171 2505 3340 4008 4342 5010 6513 6680 8684 9137 10020 10855 13026 17368 18274 20040 21710 26052 27411 32565 36548 43420 45685 52104 54822 65130 73096 86840 91370 109644 118781 130260 137055 182740 219288 237562 260520 274110 356343 365480 475124 548220 593905 712686 950248 1096440 1187810 1425372 1525879 1781715 2375620 2850744 3051758 3563430 4577637 4751240 6103516 7126860 7629395 9155274 12207032 14253720 15258790 18310548 19836427 22888185 30517580 36621096 39672854 45776370 59509281 61035160 79345708 91552740 99182135 119018562 158691416 183105480 198364270 238037124 297546405 396728540 476074248 595092810 793457080 1190185620 2380371240