Search a number
-
+
148338700 = 225219101773
BaseRepresentation
bin10001101011101…
…11100000001100
3101100010101102221
420311313200030
5300433314300
622415225124
73450600226
oct1065674014
9340111387
10148338700
1176808074
12418181a4
13249699a3
14159b5416
15d05231a
hex8d7780c

148338700 has 72 divisors (see below), whose sum is σ = 342634320. Its totient is φ = 55584000.

The previous prime is 148338623. The next prime is 148338709. The reversal of 148338700 is 7833841.

It is not an unprimeable number, because it can be changed into a prime (148338709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191514 + ... + 192286.

It is an arithmetic number, because the mean of its divisors is an integer number (4758810).

Almost surely, 2148338700 is an apocalyptic number.

148338700 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 148338700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171317160).

148338700 is an abundant number, since it is smaller than the sum of its proper divisors (194295620).

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

148338700 is a wasteful number, since it uses less digits than its factorization.

148338700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 148338700 is about 12179.4375896426. The cubic root of 148338700 is about 529.3604484514.

The spelling of 148338700 in words is "one hundred forty-eight million, three hundred thirty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 101 190 202 380 404 475 505 773 950 1010 1546 1900 1919 2020 2525 3092 3838 3865 5050 7676 7730 9595 10100 14687 15460 19190 19325 29374 38380 38650 47975 58748 73435 77300 78073 95950 146870 156146 191900 293740 312292 367175 390365 734350 780730 1468700 1483387 1561460 1951825 2966774 3903650 5933548 7416935 7807300 14833870 29667740 37084675 74169350 148338700