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148620400 = 2452616091
BaseRepresentation
bin10001101101111…
…00010001110000
3101100122200212021
420312330101300
5301021323100
622425241224
73453152425
oct1066742160
9340580767
10148620400
117698a785
1241933214
1324a37c86
1415a49d4c
15d0aaa1a
hex8dbc470

148620400 has 60 divisors (see below), whose sum is σ = 362973544. Its totient is φ = 58464000.

The previous prime is 148620383. The next prime is 148620401. The reversal of 148620400 is 4026841.

148620400 is digitally balanced in base 3, 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148620401) 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 11 ways as a sum of consecutive naturals, for example, 21355 + ... + 27445.

Almost surely, 2148620400 is an apocalyptic number.

148620400 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 148620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181486772).

148620400 is an abundant number, since it is smaller than the sum of its proper divisors (214353144).

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

148620400 is a wasteful number, since it uses less digits than its factorization.

148620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170 (or 6159 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 148620400 is about 12190.9966778767. The cubic root of 148620400 is about 529.6953274427.

The spelling of 148620400 in words is "one hundred forty-eight million, six hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 305 400 488 610 976 1220 1525 2440 3050 4880 6091 6100 12182 12200 24364 24400 30455 48728 60910 97456 121820 152275 243640 304550 371551 487280 609100 743102 1218200 1486204 1857755 2436400 2972408 3715510 5944816 7431020 9288775 14862040 18577550 29724080 37155100 74310200 148620400