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146834240 = 265765551
BaseRepresentation
bin10001100000010…
…00001101000000
3101020021221201012
420300020031000
5300042143430
622323100052
73432033110
oct1060101500
9336257635
10146834240
117597a813
1241211628
1324560c87
1415703040
15cd56695
hex8c08340

146834240 has 56 divisors (see below), whose sum is σ = 399604992. Its totient is φ = 50342400.

The previous prime is 146834239. The next prime is 146834257. The reversal of 146834240 is 42438641.

146834240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 146834197 and 146834206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30536 + ... + 35015.

Almost surely, 2146834240 is an apocalyptic number.

146834240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146834240 is an abundant number, since it is smaller than the sum of its proper divisors (252770752).

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

146834240 is an equidigital number, since it uses as much as digits as its factorization.

146834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65575 (or 65565 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 146834240 is about 12117.5178976554. The cubic root of 146834240 is about 527.5647622320.

The spelling of 146834240 in words is "one hundred forty-six million, eight hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 65551 131102 262204 327755 458857 524408 655510 917714 1048816 1311020 1835428 2097632 2294285 2622040 3670856 4195264 4588570 5244080 7341712 9177140 10488160 14683424 18354280 20976320 29366848 36708560 73417120 146834240