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146332740 = 22351132191
BaseRepresentation
bin10001011100011…
…01110001000100
3101012100110210010
420232031301010
5244430121430
622304230220
73424544031
oct1056156104
9335313703
10146332740
1175667a54
124100b370
1324416928
1415612388
15cca7cb0
hex8b8dc44

146332740 has 72 divisors (see below), whose sum is σ = 415554048. Its totient is φ = 38474240.

The previous prime is 146332733. The next prime is 146332763. The reversal of 146332740 is 47233641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 146332698 and 146332707.

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, 766045 + ... + 766235.

It is an arithmetic number, because the mean of its divisors is an integer number (5771584).

Almost surely, 2146332740 is an apocalyptic number.

146332740 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 146332740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207777024).

146332740 is an abundant number, since it is smaller than the sum of its proper divisors (269221308).

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

146332740 is a wasteful number, since it uses less digits than its factorization.

146332740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 146332740 is about 12096.8070167297. The cubic root of 146332740 is about 526.9634594504.

Subtracting from 146332740 its reverse (47233641), we obtain a palindrome (99099099).

The spelling of 146332740 in words is "one hundred forty-six million, three hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 191 226 339 382 452 565 573 678 764 955 1130 1146 1356 1695 1910 2260 2292 2865 3390 3820 5730 6780 11460 12769 21583 25538 38307 43166 51076 63845 64749 76614 86332 107915 127690 129498 153228 191535 215830 255380 258996 323745 383070 431660 647490 766140 1294980 2438879 4877758 7316637 9755516 12194395 14633274 24388790 29266548 36583185 48777580 73166370 146332740