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153154140 = 2235792409
BaseRepresentation
bin10010010000011…
…11001001011100
3101200012000222120
421020033021130
5303201413030
623110342540
73536534346
oct1110171134
9350160876
10153154140
11794a6a77
124335aa50
1325964769
14164aa296
15d6a4010
hex920f25c

153154140 has 72 divisors (see below), whose sum is σ = 435390480. Its totient is φ = 40225536.

The previous prime is 153154123. The next prime is 153154159. The reversal of 153154140 is 41451351.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 153154140.

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, 374256 + ... + 374664.

It is an arithmetic number, because the mean of its divisors is an integer number (6047090).

Almost surely, 2153154140 is an apocalyptic number.

153154140 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 153154140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217695240).

153154140 is an abundant number, since it is smaller than the sum of its proper divisors (282236340).

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

153154140 is a wasteful number, since it uses less digits than its factorization.

153154140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 153154140 is about 12375.5460485588. The cubic root of 153154140 is about 535.0276749302.

The spelling of 153154140 in words is "one hundred fifty-three million, one hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 409 474 790 818 948 1185 1227 1580 1636 2045 2370 2454 4090 4740 4908 6135 6241 8180 12270 12482 18723 24540 24964 31205 32311 37446 62410 64622 74892 93615 96933 124820 129244 161555 187230 193866 323110 374460 387732 484665 646220 969330 1938660 2552569 5105138 7657707 10210276 12762845 15315414 25525690 30630828 38288535 51051380 76577070 153154140