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148500072 = 23327476269
BaseRepresentation
bin10001101100111…
…10111001101000
3101100102120210200
420312132321220
5301004000242
622422512200
73452141550
oct1066367150
9340376720
10148500072
1176908336
1241895660
13249c5286
1415a18160
15d08504c
hex8d9ee68

148500072 has 96 divisors (see below), whose sum is σ = 469497600. Its totient is φ = 41519232.

The previous prime is 148500041. The next prime is 148500127. The reversal of 148500072 is 270005841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20554 + ... + 26822.

It is an arithmetic number, because the mean of its divisors is an integer number (4890600).

Almost surely, 2148500072 is an apocalyptic number.

148500072 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 148500072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234748800).

148500072 is an abundant number, since it is smaller than the sum of its proper divisors (320997528).

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

148500072 is a wasteful number, since it uses less digits than its factorization.

148500072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 148500072 is about 12186.0605611494. The cubic root of 148500072 is about 529.5523358831.

The spelling of 148500072 in words is "one hundred forty-eight million, five hundred thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 84 94 126 141 168 188 252 282 329 376 423 504 564 658 846 987 1128 1316 1692 1974 2632 2961 3384 3948 5922 6269 7896 11844 12538 18807 23688 25076 37614 43883 50152 56421 75228 87766 112842 131649 150456 175532 225684 263298 294643 351064 394947 451368 526596 589286 789894 883929 1053192 1178572 1579788 1767858 2062501 2357144 2651787 3159576 3535716 4125002 5303574 6187503 7071432 8250004 10607148 12375006 16500008 18562509 21214296 24750012 37125018 49500024 74250036 148500072