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126767328 = 2533789401
BaseRepresentation
bin1111000111001…
…01000011100000
322211112110002020
413203211003200
5224423023303
620325021440
73066335022
oct743450340
9284473066
10126767328
1165614196
1236554880
132035626c
1412b9c012
15b1e0a53
hex78e50e0

126767328 has 96 divisors (see below), whose sum is σ = 346459680. Its totient is φ = 40550400.

The previous prime is 126767309. The next prime is 126767363. The reversal of 126767328 is 823767621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 126767328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315928 + ... + 316328.

It is an arithmetic number, because the mean of its divisors is an integer number (3608955).

Almost surely, 2126767328 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 126767328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173229840).

126767328 is an abundant number, since it is smaller than the sum of its proper divisors (219692352).

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

126767328 is a wasteful number, since it uses less digits than its factorization.

126767328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 126767328 is about 11259.0997863950. The cubic root of 126767328 is about 502.3454181578.

The spelling of 126767328 in words is "one hundred twenty-six million, seven hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 89 96 111 148 178 222 267 296 356 401 444 534 592 712 802 888 1068 1184 1203 1424 1604 1776 2136 2406 2848 3208 3293 3552 4272 4812 6416 6586 8544 9624 9879 12832 13172 14837 19248 19758 26344 29674 35689 38496 39516 44511 52688 59348 71378 79032 89022 105376 107067 118696 142756 158064 178044 214134 237392 285512 316128 356088 428268 474784 571024 712176 856536 1142048 1320493 1424352 1713072 2640986 3426144 3961479 5281972 7922958 10563944 15845916 21127888 31691832 42255776 63383664 126767328