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148002072 = 23337166669
BaseRepresentation
bin10001101001001…
…01010100011000
3101022111021200020
420310211110120
5300342031242
622404110440
73444665631
oct1064452430
9338437606
10148002072
11765a8169
1241695420
132487c6ba
1415928888
15ced76ec
hex8d25518

148002072 has 32 divisors (see below), whose sum is σ = 380007600. Its totient is φ = 48000384.

The previous prime is 148002061. The next prime is 148002083. The reversal of 148002072 is 270200841.

It is an interprime number because it is at equal distance from previous prime (148002061) and next prime (148002083).

It is a super-2 number, since 2×1480020722 = 43809226632586368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82447 + ... + 84222.

Almost surely, 2148002072 is an apocalyptic number.

148002072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148002072 is an abundant number, since it is smaller than the sum of its proper divisors (232005528).

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

148002072 is a wasteful number, since it uses less digits than its factorization.

148002072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166715 (or 166711 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 148002072 is about 12165.6102189738. The cubic root of 148002072 is about 528.9597157251.

The spelling of 148002072 in words is "one hundred forty-eight million, two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 166669 333338 500007 666676 1000014 1333352 2000028 4000056 6166753 12333506 18500259 24667012 37000518 49334024 74001036 148002072