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146993210 = 25713161531
BaseRepresentation
bin10001100001011…
…11000000111010
3101020121000202222
420300233000322
5300112240320
622330324042
73433264430
oct1060570072
9336530688
10146993210
1175a791a1
1241289622
13245b8440
1415744d50
15cd88825
hex8c2f03a

146993210 has 32 divisors (see below), whose sum is σ = 325648512. Its totient is φ = 46520640.

The previous prime is 146993153. The next prime is 146993213. The reversal of 146993210 is 12399641.

It is a super-2 number, since 2×1469932102 = 43214007572208200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (146993213) 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, 79856 + ... + 81675.

It is an arithmetic number, because the mean of its divisors is an integer number (10176516).

Almost surely, 2146993210 is an apocalyptic number.

146993210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146993210 is an abundant number, since it is smaller than the sum of its proper divisors (178655302).

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

146993210 is a wasteful number, since it uses less digits than its factorization.

146993210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161558.

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 146993210 is about 12124.0756348680. The cubic root of 146993210 is about 527.7550827873.

The spelling of 146993210 in words is "one hundred forty-six million, nine hundred ninety-three thousand, two hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 161531 323062 807655 1130717 1615310 2099903 2261434 4199806 5653585 10499515 11307170 14699321 20999030 29398642 73496605 146993210