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36479970 = 2345291553
BaseRepresentation
bin1000101100101…
…0001111100010
32112122101010000
42023022033202
533314324340
63341520430
7622034412
oct213121742
975571100
1036479970
1119656a3a
1210273116
1377335a7
144bb8642
153308d30
hex22ca3e2

36479970 has 80 divisors (see below), whose sum is σ = 101538360. Its totient is φ = 9386496.

The previous prime is 36479957. The next prime is 36479983. The reversal of 36479970 is 7997463.

It is an interprime number because it is at equal distance from previous prime (36479957) and next prime (36479983).

It can be written as a sum of positive squares in 4 ways, for example, as 21986721 + 14493249 = 4689^2 + 3807^2 .

It is a super-2 number, since 2×364799702 = 2661576422401800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22714 + ... + 24266.

Almost surely, 236479970 is an apocalyptic number.

36479970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36479970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50769180).

36479970 is an abundant number, since it is smaller than the sum of its proper divisors (65058390).

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

36479970 is a wasteful number, since it uses less digits than its factorization.

36479970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 36479970 is about 6039.8650647179. The cubic root of 36479970 is about 331.6536827601.

The spelling of 36479970 in words is "thirty-six million, four hundred seventy-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1553 1566 2349 2610 3106 3915 4659 4698 7765 7830 9318 11745 13977 15530 23295 23490 27954 41931 45037 46590 69885 83862 90074 125793 135111 139770 209655 225185 251586 270222 405333 419310 450370 628965 675555 810666 1215999 1257930 1351110 2026665 2431998 3647997 4053330 6079995 7295994 12159990 18239985 36479970