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5213240240 = 24513311011601
BaseRepresentation
bin1001101101011101…
…11011101110110000
3111110022122001011212
410312232323232300
541134042141430
62221145455252
7243121545065
oct46656735660
914408561155
105213240240
11223581360a
121015aa1528
136510a0550
1437652cc6c
15207a28b95
hex136bbbbb0

5213240240 has 160 divisors (see below), whose sum is σ = 13616128512. Its totient is φ = 1843200000.

The previous prime is 5213240233. The next prime is 5213240261. The reversal of 5213240240 is 420423125.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3255440 + ... + 3257040.

Almost surely, 25213240240 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 5213240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6808064256).

5213240240 is an abundant number, since it is smaller than the sum of its proper divisors (8402888272).

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

5213240240 is a wasteful number, since it uses less digits than its factorization.

5213240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 5213240240 is about 72202.7716919510. The cubic root of 5213240240 is about 1733.9473764632.

Adding to 5213240240 its reverse (420423125), we get a palindrome (5633663365).

The spelling of 5213240240 in words is "five billion, two hundred thirteen million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 101 104 124 130 155 202 208 248 260 310 403 404 496 505 520 620 806 808 1010 1040 1240 1313 1601 1612 1616 2015 2020 2480 2626 3131 3202 3224 4030 4040 5252 6262 6404 6448 6565 8005 8060 8080 10504 12524 12808 13130 15655 16010 16120 20813 21008 25048 25616 26260 31310 32020 32240 40703 41626 49631 50096 52520 62620 64040 81406 83252 99262 104065 105040 125240 128080 161701 162812 166504 198524 203515 208130 248155 250480 323402 325624 333008 397048 407030 416260 496310 645203 646804 651248 794096 808505 814060 832520 992620 1290406 1293608 1617010 1628120 1665040 1985240 2102113 2580812 2587216 3226015 3234020 3256240 3970480 4204226 5012731 5161624 6452030 6468040 8408452 10025462 10323248 10510565 12904060 12936080 16816904 20050924 21021130 25063655 25808120 33633808 40101848 42042260 50127310 51616240 65165503 80203696 84084520 100254620 130331006 168169040 200509240 260662012 325827515 401018480 521324024 651655030 1042648048 1303310060 2606620120 5213240240