Search a number
-
+
126902100 = 223521322503
BaseRepresentation
bin1111001000001…
…01111101010100
322211210021221210
413210011331110
5224441331400
620331541420
73100435653
oct744057524
9284707853
10126902100
11656a6476
12365ba870
13203a2700
1412bd519a
15b21a950
hex7905f54

126902100 has 108 divisors (see below), whose sum is σ = 397745376. Its totient is φ = 31224960.

The previous prime is 126902099. The next prime is 126902117. The reversal of 126902100 is 1209621.

It is a super-2 number, since 2×1269021002 = 32208285968820000, 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 35 ways as a sum of consecutive naturals, for example, 49449 + ... + 51951.

Almost surely, 2126902100 is an apocalyptic number.

126902100 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 126902100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198872688).

126902100 is an abundant number, since it is smaller than the sum of its proper divisors (270843276).

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

126902100 is a wasteful number, since it uses less digits than its factorization.

126902100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 126902100 is about 11265.0832220628. The cubic root of 126902100 is about 502.5233770467.

The spelling of 126902100 in words is "one hundred twenty-six million, nine hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 169 195 260 300 325 338 390 507 650 676 780 845 975 1014 1300 1690 1950 2028 2503 2535 3380 3900 4225 5006 5070 7509 8450 10012 10140 12515 12675 15018 16900 25030 25350 30036 32539 37545 50060 50700 62575 65078 75090 97617 125150 130156 150180 162695 187725 195234 250300 325390 375450 390468 423007 488085 650780 750900 813475 846014 976170 1269021 1626950 1692028 1952340 2115035 2440425 2538042 3253900 4230070 4880850 5076084 6345105 8460140 9761700 10575175 12690210 21150350 25380420 31725525 42300700 63451050 126902100