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5103523920 = 2435118323291
BaseRepresentation
bin1001100000011000…
…11001100001010000
3111011200011212200110
410300030121201100
540423000231140
62202230121320
7240320144325
oct46014314120
914150155613
105103523920
112189896070
12ba51b0240
13634437351
14365b2cb4c
151ed0a5380
hex130319850

5103523920 has 160 divisors (see below), whose sum is σ = 17467881984. Its totient is φ = 1222259200.

The previous prime is 5103523891. The next prime is 5103523921. The reversal of 5103523920 is 293253015.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5103523921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207475 + ... + 230765.

Almost surely, 25103523920 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 5103523920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8733940992).

5103523920 is an abundant number, since it is smaller than the sum of its proper divisors (12364358064).

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

5103523920 is a wasteful number, since it uses less digits than its factorization.

5103523920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23401 (or 23395 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 5103523920 is about 71438.9523999337. The cubic root of 5103523920 is about 1721.6969821088.

Adding to 5103523920 its reverse (293253015), we get a palindrome (5396776935).

The spelling of 5103523920 in words is "five billion, one hundred three million, five hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 83 88 110 120 132 165 166 176 220 240 249 264 330 332 415 440 498 528 660 664 830 880 913 996 1245 1320 1328 1660 1826 1992 2490 2640 2739 3320 3652 3984 4565 4980 5478 6640 7304 9130 9960 10956 13695 14608 18260 19920 21912 23291 27390 36520 43824 46582 54780 69873 73040 93164 109560 116455 139746 186328 219120 232910 256201 279492 349365 372656 465820 512402 558984 698730 768603 931640 1024804 1117968 1281005 1397460 1537206 1863280 1933153 2049608 2562010 2794920 3074412 3843015 3866306 4099216 5124020 5589840 5799459 6148824 7686030 7732612 9665765 10248040 11598918 12297648 15372060 15465224 19331530 20496080 21264683 23197836 28997295 30744120 30930448 38663060 42529366 46395672 57994590 61488240 63794049 77326120 85058732 92791344 106323415 115989180 127588098 154652240 170117464 212646830 231978360 255176196 318970245 340234928 425293660 463956720 510352392 637940490 850587320 1020704784 1275880980 1701174640 2551761960 5103523920