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148812180 = 2235111911867
BaseRepresentation
bin10001101111010…
…11000110010100
3101101000102221020
420313223012110
5301043442210
622433321140
73454611516
oct1067530624
9341012836
10148812180
1177000880
1241a061b0
1324aa435a
1415a99bb6
15d0e7770
hex8deb194

148812180 has 96 divisors (see below), whose sum is σ = 478517760. Its totient is φ = 34174080.

The previous prime is 148812173. The next prime is 148812211. The reversal of 148812180 is 81218841.

148812180 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 (33).

It is a congruent number.

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, 6607 + ... + 18473.

It is an arithmetic number, because the mean of its divisors is an integer number (4984560).

Almost surely, 2148812180 is an apocalyptic number.

148812180 is a gapful number since it is divisible by the number (10) 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 148812180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239258880).

148812180 is an abundant number, since it is smaller than the sum of its proper divisors (329705580).

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

148812180 is a wasteful number, since it uses less digits than its factorization.

148812180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11909 (or 11907 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 148812180 is about 12198.8597827830. The cubic root of 148812180 is about 529.9230694083.

The spelling of 148812180 in words is "one hundred forty-eight million, eight hundred twelve thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 11867 12540 23734 35601 47468 59335 71202 118670 130537 142404 178005 225473 237340 261074 356010 391611 450946 522148 652685 676419 712020 783222 901892 1127365 1305370 1352838 1566444 1958055 2254730 2480203 2610740 2705676 3382095 3916110 4509460 4960406 6764190 7440609 7832220 9920812 12401015 13528380 14881218 24802030 29762436 37203045 49604060 74406090 148812180