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148001400 = 23325282223
BaseRepresentation
bin10001101001001…
…01001001111000
3101022111020202100
420310211021320
5300342021100
622404103400
73444663651
oct1064451170
9338436670
10148001400
11765a7708
1241694b60
132487c2c1
1415928528
15ced7400
hex8d25278

148001400 has 72 divisors (see below), whose sum is σ = 497044080. Its totient is φ = 39466560.

The previous prime is 148001363. The next prime is 148001401. The reversal of 148001400 is 4100841.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148001401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39312 + ... + 42911.

It is an arithmetic number, because the mean of its divisors is an integer number (6903390).

Almost surely, 2148001400 is an apocalyptic number.

148001400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148001400 is an abundant number, since it is smaller than the sum of its proper divisors (349042680).

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

148001400 is a wasteful number, since it uses less digits than its factorization.

148001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82245 (or 82233 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 148001400 is about 12165.5826001059. The cubic root of 148001400 is about 528.9589151474.

The spelling of 148001400 in words is "one hundred forty-eight million, one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 82223 164446 246669 328892 411115 493338 657784 740007 822230 986676 1233345 1480014 1644460 1973352 2055575 2466690 2960028 3288920 3700035 4111150 4933380 5920056 6166725 7400070 8222300 9866760 12333450 14800140 16444600 18500175 24666900 29600280 37000350 49333800 74000700 148001400