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147007332 = 223319312311
BaseRepresentation
bin10001100001100…
…10011101100100
3101020121202011000
420300302131210
5300113213312
622330513300
73433353543
oct1060623544
9336552130
10147007332
1175a8886a
1241295830
13245c19b4
141574a15a
15cd8cadc
hex8c32764

147007332 has 96 divisors (see below), whose sum is σ = 414310400. Its totient is φ = 44906400.

The previous prime is 147007321. The next prime is 147007369. The reversal of 147007332 is 233700741.

It is a super-2 number, since 2×1470073322 = 43222311323516448, which contains 22 as substring.

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 = 147007296 and 147007305.

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, 62457 + ... + 64767.

Almost surely, 2147007332 is an apocalyptic number.

147007332 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 147007332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207155200).

147007332 is an abundant number, since it is smaller than the sum of its proper divisors (267303068).

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

147007332 is a wasteful number, since it uses less digits than its factorization.

147007332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 147007332 is about 12124.6580157957. The cubic root of 147007332 is about 527.7719831567.

The spelling of 147007332 in words is "one hundred forty-seven million, seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 93 108 114 124 171 186 228 279 342 372 513 558 589 684 837 1026 1116 1178 1674 1767 2052 2311 2356 3348 3534 4622 5301 6933 7068 9244 10602 13866 15903 20799 21204 27732 31806 41598 43909 62397 63612 71641 83196 87818 124794 131727 143282 175636 214923 249588 263454 286564 395181 429846 526908 644769 790362 859692 1185543 1289538 1361179 1580724 1934307 2371086 2579076 2722358 3868614 4083537 4742172 5444716 7737228 8167074 12250611 16334148 24501222 36751833 49002444 73503666 147007332