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126230076 = 2234727951
BaseRepresentation
bin1111000011000…
…01111000111100
322210112011010000
413201201320330
5224303330301
620305314300
73061636500
oct741417074
9283464100
10126230076
1165287585
1236335990
13201c886b
1412a9c300
15b136786
hex7861e3c

126230076 has 90 divisors (see below), whose sum is σ = 383914608. Its totient is φ = 36061200.

The previous prime is 126230063. The next prime is 126230081. The reversal of 126230076 is 670032621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11901 + ... + 19851.

Almost surely, 2126230076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126230076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191957304).

126230076 is an abundant number, since it is smaller than the sum of its proper divisors (257684532).

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

126230076 is a wasteful number, since it uses less digits than its factorization.

126230076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7981 (or 7963 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 126230076 is about 11235.2158857763. The cubic root of 126230076 is about 501.6347506887.

Adding to 126230076 its reverse (670032621), we get a palindrome (796262697).

The spelling of 126230076 in words is "one hundred twenty-six million, two hundred thirty thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 7951 15876 15902 23853 31804 47706 55657 71559 95412 111314 143118 166971 214677 222628 286236 333942 389599 429354 500913 644031 667884 779198 858708 1001826 1168797 1288062 1502739 1558396 2003652 2337594 2576124 3005478 3506391 4508217 4675188 6010956 7012782 9016434 10519173 14025564 18032868 21038346 31557519 42076692 63115038 126230076