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148166920 = 23511523
BaseRepresentation
bin10001101010011…
…01100100001000
3101022210122210201
420311031210020
5300412320140
622411421544
73446253346
oct1065154410
9338718721
10148166920
1176700000
12417548b4
1324909745
141596c996
15d01b49a
hex8d4d908

148166920 has 96 divisors (see below), whose sum is σ = 382656960. Its totient is φ = 51536320.

The previous prime is 148166891. The next prime is 148166923. The reversal of 148166920 is 29661841.

It is a happy number.

It is a super-3 number, since 3×1481669203 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 148166920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148166923) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6442029 + ... + 6442051.

It is an arithmetic number, because the mean of its divisors is an integer number (3986010).

Almost surely, 2148166920 is an apocalyptic number.

148166920 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 148166920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191328480).

148166920 is an abundant number, since it is smaller than the sum of its proper divisors (234490040).

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

148166920 is an frugal number, since it uses more digits than its factorization.

148166920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 148166920 is about 12172.3834970806. The cubic root of 148166920 is about 529.1560318886.

It can be divided in two parts, 14816 and 6920, that added together give a triangular number (21736 = T208).

The spelling of 148166920 in words is "one hundred forty-eight million, one hundred sixty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 121 184 220 230 242 253 440 460 484 506 605 920 968 1012 1210 1265 1331 2024 2420 2530 2662 2783 4840 5060 5324 5566 6655 10120 10648 11132 13310 13915 14641 22264 26620 27830 29282 30613 53240 55660 58564 61226 73205 111320 117128 122452 146410 153065 161051 244904 292820 306130 322102 336743 585640 612260 644204 673486 805255 1224520 1288408 1346972 1610510 1683715 2693944 3221020 3367430 3704173 6442040 6734860 7408346 13469720 14816692 18520865 29633384 37041730 74083460 148166920