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153394500 = 22353722087
BaseRepresentation
bin10010010010010…
…01110101000100
3101200122020200210
421021021311010
5303232111000
623115435420
73541555200
oct1111116504
9350566623
10153394500
1179650616
1243455b70
1325a19c9c
141652db00
15d700350
hex9249d44

153394500 has 144 divisors (see below), whose sum is σ = 519861888. Its totient is φ = 35044800.

The previous prime is 153394499. The next prime is 153394559. The reversal of 153394500 is 5493351.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72457 + ... + 74543.

It is an arithmetic number, because the mean of its divisors is an integer number (3610152).

Almost surely, 2153394500 is an apocalyptic number.

153394500 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 153394500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259930944).

153394500 is an abundant number, since it is smaller than the sum of its proper divisors (366467388).

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

153394500 is a wasteful number, since it uses less digits than its factorization.

153394500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 153394500 is about 12385.2533280511. The cubic root of 153394500 is about 535.3074193237.

The spelling of 153394500 in words is "one hundred fifty-three million, three hundred ninety-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 125 140 147 150 175 196 210 245 250 294 300 350 375 420 490 500 525 588 700 735 750 875 980 1050 1225 1470 1500 1750 2087 2100 2450 2625 2940 3500 3675 4174 4900 5250 6125 6261 7350 8348 10435 10500 12250 12522 14609 14700 18375 20870 24500 25044 29218 31305 36750 41740 43827 52175 58436 62610 73045 73500 87654 102263 104350 125220 146090 156525 175308 204526 208700 219135 260875 292180 306789 313050 365225 409052 438270 511315 521750 613578 626100 730450 782625 876540 1022630 1043500 1095675 1227156 1460900 1533945 1565250 1826125 2045260 2191350 2556575 3067890 3130500 3652250 4382700 5113150 5478375 6135780 7304500 7669725 10226300 10956750 12782875 15339450 21913500 25565750 30678900 38348625 51131500 76697250 153394500