Search a number
-
+
146398740 = 22353122539
BaseRepresentation
bin10001011100111…
…01111000010100
3101012110211022120
420232131320110
5244434224430
622305455540
73425240325
oct1056357024
9335424276
10146398740
11757025a4
12410415b0
132443a997
141562c44c
15ccbc610
hex8b9de14

146398740 has 72 divisors (see below), whose sum is σ = 423732960. Its totient is φ = 37765440.

The previous prime is 146398729. The next prime is 146398753. The reversal of 146398740 is 47893641.

146398740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146398692 and 146398701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56391 + ... + 58929.

It is an arithmetic number, because the mean of its divisors is an integer number (5885180).

Almost surely, 2146398740 is an apocalyptic number.

146398740 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 146398740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211866480).

146398740 is an abundant number, since it is smaller than the sum of its proper divisors (277334220).

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

146398740 is a wasteful number, since it uses less digits than its factorization.

146398740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 146398740 is about 12099.5347017974. The cubic root of 146398740 is about 527.0426724385.

The spelling of 146398740 in words is "one hundred forty-six million, three hundred ninety-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 961 1860 1922 2539 2883 3844 4805 5078 5766 7617 9610 10156 11532 12695 14415 15234 19220 25390 28830 30468 38085 50780 57660 76170 78709 152340 157418 236127 314836 393545 472254 787090 944508 1180635 1574180 2361270 2439979 4722540 4879958 7319937 9759916 12199895 14639874 24399790 29279748 36599685 48799580 73199370 146398740