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148993300 = 22522983619
BaseRepresentation
bin10001110000101…
…11010100010100
3101101100122101101
420320113110110
5301120241200
622441235444
73456264541
oct1070272424
9341318341
10148993300
1177114965
1241a92b84
1324b38921
1415b05bc8
15d13126a
hex8e17514

148993300 has 72 divisors (see below), whose sum is σ = 339040800. Its totient is φ = 56757120.

The previous prime is 148993297. The next prime is 148993301. The reversal of 148993300 is 3399841.

It is a self number, because there is not a number n which added to its sum of digits gives 148993300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148993301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240391 + ... + 241009.

It is an arithmetic number, because the mean of its divisors is an integer number (4708900).

Almost surely, 2148993300 is an apocalyptic number.

148993300 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 148993300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169520400).

148993300 is an abundant number, since it is smaller than the sum of its proper divisors (190047500).

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

148993300 is a wasteful number, since it uses less digits than its factorization.

148993300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 148993300 is about 12206.2811699551. The cubic root of 148993300 is about 530.1379728602.

The spelling of 148993300 in words is "one hundred forty-eight million, nine hundred ninety-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 83 100 116 145 166 290 332 415 580 619 725 830 1238 1450 1660 2075 2407 2476 2900 3095 4150 4814 6190 8300 9628 12035 12380 15475 17951 24070 30950 35902 48140 51377 60175 61900 71804 89755 102754 120350 179510 205508 240700 256885 359020 448775 513770 897550 1027540 1284425 1489933 1795100 2568850 2979866 5137700 5959732 7449665 14899330 29798660 37248325 74496650 148993300