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146756340 = 22335271771
BaseRepresentation
bin10001011111101…
…01001011110100
3101020010222212000
420233311023310
5300032200330
622321255300
73431260023
oct1057651364
9336128760
10146756340
1175927235
1241194530
1324534693
14156c28ba
15cd3d560
hex8bf52f4

146756340 has 48 divisors (see below), whose sum is σ = 456576960. Its totient is φ = 39134880.

The previous prime is 146756329. The next prime is 146756341. The reversal of 146756340 is 43657641.

It is a happy number.

146756340 is a `hidden beast` number, since 14 + 6 + 7 + 5 + 634 + 0 = 666.

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 = 146756295 and 146756304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146756341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135346 + ... + 136425.

It is an arithmetic number, because the mean of its divisors is an integer number (9512020).

Almost surely, 2146756340 is an apocalyptic number.

146756340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146756340 is an abundant number, since it is smaller than the sum of its proper divisors (309820620).

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

146756340 is a wasteful number, since it uses less digits than its factorization.

146756340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271789 (or 271781 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 146756340 is about 12114.3031165643. The cubic root of 146756340 is about 527.4714493805.

The spelling of 146756340 in words is "one hundred forty-six million, seven hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 271771 543542 815313 1087084 1358855 1630626 2445939 2717710 3261252 4076565 4891878 5435420 7337817 8153130 9783756 12229695 14675634 16306260 24459390 29351268 36689085 48918780 73378170 146756340