Search a number
-
+
12512500 = 225571113
BaseRepresentation
bin101111101110…
…110011110100
3212112200220221
4233232303310
511200400000
61124104124
7211232410
oct57566364
925480827
1012512500
117076910
124235044
132791360
141939d40
15117261a
hexbeecf4

12512500 has 144 divisors (see below), whose sum is σ = 36747648. Its totient is φ = 3600000.

The previous prime is 12512447. The next prime is 12512501. The reversal of 12512500 is 521521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12512501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962494 + ... + 962506.

It is an arithmetic number, because the mean of its divisors is an integer number (255192).

Almost surely, 212512500 is an apocalyptic number.

12512500 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 12512500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373824).

12512500 is an abundant number, since it is smaller than the sum of its proper divisors (24235148).

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

12512500 is a wasteful number, since it uses less digits than its factorization.

12512500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 12512500 is about 3537.3012311648. The cubic root of 12512500 is about 232.1567757222.

It can be divided in two parts, 125 and 12500, that multiplied together give a square (1562500 = 12502).

The spelling of 12512500 in words is "twelve million, five hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 125 130 140 143 154 175 182 220 250 260 275 286 308 325 350 364 385 455 500 550 572 625 650 700 715 770 875 910 1001 1100 1250 1300 1375 1430 1540 1625 1750 1820 1925 2002 2275 2500 2750 2860 3125 3250 3500 3575 3850 4004 4375 4550 5005 5500 6250 6500 6875 7150 7700 8125 8750 9100 9625 10010 11375 12500 13750 14300 16250 17500 17875 19250 20020 21875 22750 25025 27500 32500 34375 35750 38500 40625 43750 45500 48125 50050 56875 68750 71500 81250 87500 89375 96250 100100 113750 125125 137500 162500 178750 192500 227500 240625 250250 284375 357500 446875 481250 500500 568750 625625 893750 962500 1137500 1251250 1787500 2502500 3128125 6256250 12512500