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5130786240 = 26345197947
BaseRepresentation
bin1001100011101000…
…11001010111000000
3111020120110221120000
410301310121113000
541001440124430
62205042320000
7241100651316
oct46164312700
914216427500
105130786240
1121a3216708
12bb2359000
13639c911b8
143695c80b6
1520068ce60
hex131d195c0

5130786240 has 140 divisors (see below), whose sum is σ = 18251201496. Its totient is φ = 1368202752.

The previous prime is 5130786229. The next prime is 5130786247. The reversal of 5130786240 is 426870315.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5130786195 and 5130786204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5130786247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73054 + ... + 124893.

Almost surely, 25130786240 is an apocalyptic number.

It is an amenable number.

5130786240 is an abundant number, since it is smaller than the sum of its proper divisors (13120415256).

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

5130786240 is a wasteful number, since it uses less digits than its factorization.

5130786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197976 (or 197957 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5130786240 is about 71629.5067692079. The cubic root of 5130786240 is about 1724.7572285946.

The spelling of 5130786240 in words is "five billion, one hundred thirty million, seven hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 197947 395894 593841 791788 989735 1187682 1583576 1781523 1979470 2375364 2969205 3167152 3563046 3958940 4750728 5344569 5938410 6334304 7126092 7917880 8907615 9501456 10689138 11876820 12668608 14252184 15835760 16033707 17815230 19002912 21378276 23753640 26722845 28504368 31671520 32067414 35630460 38005824 42756552 47507280 53445690 57008736 63343040 64134828 71260920 80168535 85513104 95014560 106891380 114017472 128269656 142521840 160337070 171026208 190029120 213782760 256539312 285043680 320674140 342052416 427565520 513078624 570087360 641348280 855131040 1026157248 1282696560 1710262080 2565393120 5130786240