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135672030 = 23351338653
BaseRepresentation
bin10000001011000…
…11000011011110
3100110021212001000
420011203003132
5234213001110
621243531130
73235123164
oct1005430336
9313255030
10135672030
116a64644a
1239529aa6
1322153410
1414039234
15bd9e1c0
hex81630de

135672030 has 64 divisors (see below), whose sum is σ = 389632320. Its totient is φ = 33395328.

The previous prime is 135672011. The next prime is 135672071. The reversal of 135672030 is 30276531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 135671985 and 135672003.

It is a congruent 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, 15817 + ... + 22836.

It is an arithmetic number, because the mean of its divisors is an integer number (6088005).

Almost surely, 2135672030 is an apocalyptic number.

135672030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135672030 is an abundant number, since it is smaller than the sum of its proper divisors (253960290).

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

135672030 is a wasteful number, since it uses less digits than its factorization.

135672030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38682 (or 38676 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 135672030 is about 11647.8337041701. The cubic root of 135672030 is about 513.8426014549.

The spelling of 135672030 in words is "one hundred thirty-five million, six hundred seventy-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 38653 77306 115959 193265 231918 347877 386530 502489 579795 695754 1004978 1043631 1159590 1507467 1739385 2087262 2512445 3014934 3478770 4522401 5024890 5218155 7537335 9044802 10436310 13567203 15074670 22612005 27134406 45224010 67836015 135672030