Search a number
-
+
146274840 = 233252914011
BaseRepresentation
bin10001011011111…
…11101000011000
3101012020112100200
420231333220120
5244421243330
622303102200
73424213155
oct1055775030
9335215320
10146274840
11756284a8
1240ba1960
13243c647a
14155d922c
15cc95a60
hex8b7fa18

146274840 has 96 divisors (see below), whose sum is σ = 491821200. Its totient is φ = 37658880.

The previous prime is 146274829. The next prime is 146274841. The reversal of 146274840 is 48472641.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146274795 and 146274804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146274841) 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, 3435 + ... + 17445.

Almost surely, 2146274840 is an apocalyptic number.

146274840 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 146274840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245910600).

146274840 is an abundant number, since it is smaller than the sum of its proper divisors (345546360).

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

146274840 is a wasteful number, since it uses less digits than its factorization.

146274840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14057 (or 14050 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 146274840 is about 12094.4135864456. The cubic root of 146274840 is about 526.8939484411.

The spelling of 146274840 in words is "one hundred forty-six million, two hundred seventy-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 14011 28022 42033 56044 70055 84066 112088 126099 140110 168132 210165 252198 280220 336264 406319 420330 504396 560440 630495 812638 840660 1008792 1218957 1260990 1625276 1681320 2031595 2437914 2521980 3250552 3656871 4063190 4875828 5043960 6094785 7313742 8126380 9751656 12189570 14627484 16252760 18284355 24379140 29254968 36568710 48758280 73137420 146274840