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147740472 = 2332111710973
BaseRepresentation
bin10001100111001…
…01011100111000
3101021222222211100
420303211130320
5300310143342
622354331400
73442526145
oct1063453470
9337888740
10147740472
1176439670
1241589b60
13247ba5c9
141589b3cc
15ce84e4c
hex8ce5738

147740472 has 96 divisors (see below), whose sum is σ = 462224880. Its totient is φ = 42132480.

The previous prime is 147740441. The next prime is 147740473. The reversal of 147740472 is 274047741.

147740472 is a `hidden beast` number, since 147 + 7 + 40 + 472 = 666.

147740472 is digitally balanced in base 2, because in such base 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147740473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7978 + ... + 18950.

Almost surely, 2147740472 is an apocalyptic number.

147740472 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 147740472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231112440).

147740472 is an abundant number, since it is smaller than the sum of its proper divisors (314484408).

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

147740472 is a wasteful number, since it uses less digits than its factorization.

147740472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11013 (or 11006 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The square root of 147740472 is about 12154.8538452751. The cubic root of 147740472 is about 528.6478789417.

The spelling of 147740472 in words is "one hundred forty-seven million, seven hundred forty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 748 792 1122 1224 1496 1683 2244 3366 4488 6732 10973 13464 21946 32919 43892 65838 87784 98757 120703 131676 186541 197514 241406 263352 362109 373082 395028 482812 559623 724218 746164 790056 965624 1086327 1119246 1448436 1492328 1678869 2051951 2172654 2238492 2896872 3357738 4103902 4345308 4476984 6155853 6715476 8207804 8690616 12311706 13430952 16415608 18467559 24623412 36935118 49246824 73870236 147740472