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126702828 = 22327331331
BaseRepresentation
bin1111000110101…
…01010011101100
322211102011121100
413203111103230
5224413442303
620323403100
73065646000
oct743252354
9284364540
10126702828
116557a78a
1236523490
1320332ab5
1412b82700
15b1cb8a3
hex78d54ec

126702828 has 144 divisors (see below), whose sum is σ = 386713600. Its totient is φ = 34927200.

The previous prime is 126702817. The next prime is 126702839. The reversal of 126702828 is 828207621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126702817) and next prime (126702839).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126702792 and 126702801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382623 + ... + 382953.

Almost surely, 2126702828 is an apocalyptic number.

126702828 is a gapful number since it is divisible by the number (18) 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 126702828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193356800).

126702828 is an abundant number, since it is smaller than the sum of its proper divisors (260010772).

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

126702828 is a wasteful number, since it uses less digits than its factorization.

126702828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 126702828 is about 11256.2350721722. The cubic root of 126702828 is about 502.2602048860.

The spelling of 126702828 in words is "one hundred twenty-six million, seven hundred two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 331 343 372 434 441 558 588 651 662 686 868 882 993 1029 1116 1302 1324 1372 1519 1764 1953 1986 2058 2317 2604 2979 3038 3087 3906 3972 4116 4557 4634 5958 6076 6174 6951 7812 9114 9268 10261 10633 11916 12348 13671 13902 16219 18228 20522 20853 21266 27342 27804 30783 31899 32438 41044 41706 42532 48657 54684 61566 63798 64876 71827 83412 92349 95697 97314 113533 123132 127596 143654 145971 184698 191394 194628 215481 227066 287308 291942 340599 369396 382788 430962 454132 502789 583884 646443 681198 861924 1005578 1021797 1292886 1362396 1508367 2011156 2043594 2585772 3016734 3519523 4087188 4525101 6033468 7039046 9050202 10558569 14078092 18100404 21117138 31675707 42234276 63351414 126702828