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135014320 = 2457534549
BaseRepresentation
bin10000000110000…
…10011110110000
3100102001102211101
420003002132300
5234030424240
621221454144
73226413520
oct1003023660
9312042741
10135014320
116a237291
1239271354
1321c82c3c
1413d07680
15bcbe39a
hex80c27b0

135014320 has 80 divisors (see below), whose sum is σ = 365601600. Its totient is φ = 45407232.

The previous prime is 135014317. The next prime is 135014329. The reversal of 135014320 is 23410531.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (135014329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27406 + ... + 31954.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2135014320 is an apocalyptic number.

135014320 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 135014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

135014320 is an abundant number, since it is smaller than the sum of its proper divisors (230587280).

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

135014320 is a wasteful number, since it uses less digits than its factorization.

135014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 135014320 is about 11619.5662569650. The cubic root of 135014320 is about 513.0109217732.

Adding to 135014320 its reverse (23410531), we get a palindrome (158424851).

The spelling of 135014320 in words is "one hundred thirty-five million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 212 265 280 371 424 530 560 742 848 1060 1484 1855 2120 2968 3710 4240 4549 5936 7420 9098 14840 18196 22745 29680 31843 36392 45490 63686 72784 90980 127372 159215 181960 241097 254744 318430 363920 482194 509488 636860 964388 1205485 1273720 1687679 1928776 2410970 2547440 3375358 3857552 4821940 6750716 8438395 9643880 13501432 16876790 19287760 27002864 33753580 67507160 135014320