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36113480 = 23513371877
BaseRepresentation
bin1000100111000…
…0110001001000
32111221202101022
42021300301020
533221112410
63330012012
7615650054
oct211606110
974852338
1036113480
1119426657
1210117008
137635830
144b20c64
153285455
hex2270c48

36113480 has 64 divisors (see below), whose sum is σ = 89918640. Its totient is φ = 12966912.

The previous prime is 36113479. The next prime is 36113501. The reversal of 36113480 is 8431163.

It can be written as a sum of positive squares in 8 ways, for example, as 18957316 + 17156164 = 4354^2 + 4142^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18302 + ... + 20178.

Almost surely, 236113480 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 36113480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44959320).

36113480 is an abundant number, since it is smaller than the sum of its proper divisors (53805160).

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

36113480 is a wasteful number, since it uses less digits than its factorization.

36113480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 36113480 is about 6009.4492260106. The cubic root of 36113480 is about 330.5393079236.

The spelling of 36113480 in words is "thirty-six million, one hundred thirteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1877 1924 2405 3754 3848 4810 7508 9385 9620 15016 18770 19240 24401 37540 48802 69449 75080 97604 122005 138898 195208 244010 277796 347245 488020 555592 694490 902837 976040 1388980 1805674 2777960 3611348 4514185 7222696 9028370 18056740 36113480