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1356690500 = 225311972543
BaseRepresentation
bin101000011011101…
…0111010001000100
310111112212000111022
41100313113101010
510234303044000
6342342330312
745422451614
oct12067272104
93445760438
101356690500
116368a8720
1231a429998
131880c6759
14cc27aa44
157e18c585
hex50dd7444

1356690500 has 96 divisors (see below), whose sum is σ = 3266984448. Its totient is φ = 488064000.

The previous prime is 1356690487. The next prime is 1356690521. The reversal of 1356690500 is 50966531.

It is a super-2 number, since 2×13566905002 = 3681218225580500000, which contains 22 as substring.

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, 532229 + ... + 534771.

It is an arithmetic number, because the mean of its divisors is an integer number (34031088).

Almost surely, 21356690500 is an apocalyptic number.

1356690500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356690500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633492224).

1356690500 is an abundant number, since it is smaller than the sum of its proper divisors (1910293948).

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

1356690500 is a wasteful number, since it uses less digits than its factorization.

1356690500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 35.

The square root of 1356690500 is about 36833.2797887997. The cubic root of 1356690500 is about 1107.0322204493.

The spelling of 1356690500 in words is "one billion, three hundred fifty-six million, six hundred ninety thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 97 100 110 125 194 220 250 275 388 485 500 550 970 1067 1100 1375 1940 2134 2425 2543 2750 4268 4850 5086 5335 5500 9700 10172 10670 12125 12715 21340 24250 25430 26675 27973 48500 50860 53350 55946 63575 106700 111892 127150 133375 139865 246671 254300 266750 279730 317875 493342 533500 559460 635750 699325 986684 1233355 1271500 1398650 2466710 2713381 2797300 3496625 4933420 5426762 6166775 6993250 10853524 12333550 13566905 13986500 24667100 27133810 30833875 54267620 61667750 67834525 123335500 135669050 271338100 339172625 678345250 1356690500