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153020532 = 2237447113
BaseRepresentation
bin10010001111011…
…10100001110100
3101122221020201010
421013232201310
5303133124112
623103432220
73535440000
oct1107564164
9348836633
10153020532
1179415655
12432b5670
13259189c2
1416473700
15d67963c
hex91ee874

153020532 has 120 divisors (see below), whose sum is σ = 429158016. Its totient is φ = 42411264.

The previous prime is 153020447. The next prime is 153020561. The reversal of 153020532 is 235020351.

153020532 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 153020499 and 153020508.

It is a congruent number.

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, 1354108 + ... + 1354220.

Almost surely, 2153020532 is an apocalyptic number.

153020532 is a gapful number since it is divisible by the number (12) 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 153020532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214579008).

153020532 is an abundant number, since it is smaller than the sum of its proper divisors (276137484).

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

153020532 is a wasteful number, since it uses less digits than its factorization.

153020532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 153020532 is about 12370.1468059195. The cubic root of 153020532 is about 534.8720478941.

Adding to 153020532 its reverse (235020351), we get a palindrome (388040883).

The spelling of 153020532 in words is "one hundred fifty-three million, twenty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 113 141 147 188 196 226 282 294 329 339 343 452 564 588 658 678 686 791 987 1029 1316 1356 1372 1582 1974 2058 2303 2373 2401 3164 3948 4116 4606 4746 4802 5311 5537 6909 7203 9212 9492 9604 10622 11074 13818 14406 15933 16121 16611 21244 22148 27636 28812 31866 32242 33222 37177 38759 48363 63732 64484 66444 74354 77518 96726 111531 112847 116277 148708 155036 193452 223062 225694 232554 260239 271313 338541 446124 451388 465108 520478 542626 677082 780717 813939 1040956 1085252 1354164 1561434 1627878 1821673 3122868 3255756 3643346 5465019 7286692 10930038 12751711 21860076 25503422 38255133 51006844 76510266 153020532