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5160304640 = 218531127
BaseRepresentation
bin1001100111001010…
…00000000000000000
3111022122000122012002
410303211000000000
541032014222030
62212015123132
7241606602641
oct46345000000
914278018162
105160304640
112208948287
1210002134a8
13643127bca
1436d4ad6c8
1520306e245
hex133940000

5160304640 has 152 divisors (see below), whose sum is σ = 12884877312. Its totient is φ = 1981808640.

The previous prime is 5160304619. The next prime is 5160304651. The reversal of 5160304640 is 464030615.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40632257 + ... + 40632383.

Almost surely, 25160304640 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 5160304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442438656).

5160304640 is an abundant number, since it is smaller than the sum of its proper divisors (7724572672).

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

5160304640 is an frugal number, since it uses more digits than its factorization.

5160304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 5160304640 is about 71835.2604227200. The cubic root of 5160304640 is about 1728.0585256812.

The spelling of 5160304640 in words is "five billion, one hundred sixty million, three hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 127 128 155 160 248 254 256 310 320 496 508 512 620 635 640 992 1016 1024 1240 1270 1280 1984 2032 2048 2480 2540 2560 3937 3968 4064 4096 4960 5080 5120 7874 7936 8128 8192 9920 10160 10240 15748 15872 16256 16384 19685 19840 20320 20480 31496 31744 32512 32768 39370 39680 40640 40960 62992 63488 65024 65536 78740 79360 81280 81920 125984 126976 130048 131072 157480 158720 162560 163840 251968 253952 260096 262144 314960 317440 325120 327680 503936 507904 520192 629920 634880 650240 655360 1007872 1015808 1040384 1259840 1269760 1300480 1310720 2015744 2031616 2080768 2519680 2539520 2600960 4031488 4063232 4161536 5039360 5079040 5201920 8062976 8126464 8323072 10078720 10158080 10403840 16125952 16646144 20157440 20316160 20807680 32251904 33292288 40314880 40632320 41615360 64503808 80629760 83230720 129007616 161259520 166461440 258015232 322519040 516030464 645038080 1032060928 1290076160 2580152320 5160304640