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145313910 = 23257283397
BaseRepresentation
bin10001010100101…
…01000001110110
3101010102201012200
420222111001312
5244200021120
622230325330
73413101500
oct1052250166
9333381180
10145313910
1175031545
12407b9846
132414ac81
1415428d70
15cb55e90
hex8a95076

145313910 has 144 divisors (see below), whose sum is σ = 445916016. Its totient is φ = 32731776.

The previous prime is 145313897. The next prime is 145313921. The reversal of 145313910 is 19313541.

It is a super-2 number, since 2×1453139102 = 42232264878976200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 365832 + ... + 366228.

It is an arithmetic number, because the mean of its divisors is an integer number (3096639).

Almost surely, 2145313910 is an apocalyptic number.

145313910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145313910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222958008).

145313910 is an abundant number, since it is smaller than the sum of its proper divisors (300602106).

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

145313910 is a wasteful number, since it uses less digits than its factorization.

145313910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 145313910 is about 12054.6219351749. The cubic root of 145313910 is about 525.7376298047.

The spelling of 145313910 in words is "one hundred forty-five million, three hundred thirteen thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 83 90 98 105 126 147 166 210 245 249 294 315 397 415 441 490 498 581 630 735 747 794 830 882 1162 1191 1245 1470 1494 1743 1985 2205 2382 2490 2779 2905 3486 3573 3735 3970 4067 4410 5229 5558 5810 5955 7146 7470 8134 8337 8715 10458 11910 12201 13895 16674 17430 17865 19453 20335 24402 25011 26145 27790 32951 35730 36603 38906 40670 41685 50022 52290 58359 61005 65902 73206 83370 97265 98853 116718 122010 125055 164755 175077 183015 194530 197706 230657 250110 291795 296559 329510 350154 366030 461314 494265 583590 593118 691971 875385 988530 1153285 1383942 1482795 1614599 1750770 2075913 2306570 2965590 3229198 3459855 4151826 4843797 6919710 8072995 9687594 10379565 14531391 16145990 20759130 24218985 29062782 48437970 72656955 145313910