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122077248 = 2631036173
BaseRepresentation
bin1110100011011…
…00000001000000
322111201011111120
413101230001000
5222222432443
620040312240
73011432226
oct721540100
9274634446
10122077248
1162a00497
1234a72680
131c3a3577
14122dab16
15aab6083
hex746c040

122077248 has 56 divisors (see below), whose sum is σ = 326184768. Its totient is φ = 40290816.

The previous prime is 122077181. The next prime is 122077279. The reversal of 122077248 is 842770221.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16690 + ... + 22862.

It is an arithmetic number, because the mean of its divisors is an integer number (5824728).

Almost surely, 2122077248 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 122077248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163092384).

122077248 is an abundant number, since it is smaller than the sum of its proper divisors (204107520).

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

122077248 is a wasteful number, since it uses less digits than its factorization.

122077248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 122077248 is about 11048.8573164830. The cubic root of 122077248 is about 496.0722232672.

The spelling of 122077248 in words is "one hundred twenty-two million, seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1236 1648 2472 3296 4944 6173 6592 9888 12346 18519 19776 24692 37038 49384 74076 98768 148152 197536 296304 395072 592608 635819 1185216 1271638 1907457 2543276 3814914 5086552 7629828 10173104 15259656 20346208 30519312 40692416 61038624 122077248