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5352103920 = 2435194128627
BaseRepresentation
bin1001111110000001…
…01001111111110000
3111210222221001100010
410333000221333300
541430114311140
62243030054520
7246426063342
oct47700517760
914728831303
105352103920
1122a7139989
1210544aa440
13673aa05c7
1438ab59292
15214d08880
hex13f029ff0

5352103920 has 160 divisors (see below), whose sum is σ = 17891354880. Its totient is φ = 1319086080.

The previous prime is 5352103891. The next prime is 5352103927. The reversal of 5352103920 is 293012535.

It is a super-3 number, since 3×53521039203 (a number of 30 digits) contains 333 as substring.

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 (5352103927) 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, 172647 + ... + 201273.

It is an arithmetic number, because the mean of its divisors is an integer number (111820968).

Almost surely, 25352103920 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 5352103920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8945677440).

5352103920 is an abundant number, since it is smaller than the sum of its proper divisors (12539250960).

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

5352103920 is a wasteful number, since it uses less digits than its factorization.

5352103920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28703 (or 28697 counting only the distinct ones).

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

The square root of 5352103920 is about 73158.0748789906. The cubic root of 5352103920 is about 1749.2082317592.

The spelling of 5352103920 in words is "five billion, three hundred fifty-two million, one hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 41 48 57 60 76 80 82 95 114 120 123 152 164 190 205 228 240 246 285 304 328 380 410 456 492 570 615 656 760 779 820 912 984 1140 1230 1520 1558 1640 1968 2280 2337 2460 3116 3280 3895 4560 4674 4920 6232 7790 9348 9840 11685 12464 15580 18696 23370 28627 31160 37392 46740 57254 62320 85881 93480 114508 143135 171762 186960 229016 286270 343524 429405 458032 543913 572540 687048 858810 1087826 1145080 1173707 1374096 1631739 1717620 2175652 2290160 2347414 2719565 3263478 3435240 3521121 4351304 4694828 5439130 5868535 6526956 6870480 7042242 8158695 8702608 9389656 10878260 11737070 13053912 14084484 16317390 17605605 18779312 21756520 22300433 23474140 26107824 28168968 32634780 35211210 43513040 44600866 46948280 56337936 65269560 66901299 70422420 89201732 93896560 111502165 130539120 133802598 140844840 178403464 223004330 267605196 281689680 334506495 356806928 446008660 535210392 669012990 892017320 1070420784 1338025980 1784034640 2676051960 5352103920