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122990976 = 2732241443
BaseRepresentation
bin1110101010010…
…11000110000000
322120102120220100
413111023012000
5222441202401
620112042400
73022256163
oct725130600
9276376810
10122990976
1163474a39
1235233400
131c633434
1412497ada
15abe6b86
hex754b180

122990976 has 96 divisors (see below), whose sum is σ = 356190120. Its totient is φ = 40734720.

The previous prime is 122990927. The next prime is 122990983. The reversal of 122990976 is 679099221.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277411 + ... + 277853.

Almost surely, 2122990976 is an apocalyptic number.

122990976 is a gapful number since it is divisible by the number (16) 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 122990976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178095060).

122990976 is an abundant number, since it is smaller than the sum of its proper divisors (233199144).

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

122990976 is a wasteful number, since it uses less digits than its factorization.

122990976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 122990976 is about 11090.1296656081. The cubic root of 122990976 is about 497.3068209522.

The spelling of 122990976 in words is "one hundred twenty-two million, nine hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 241 288 384 443 482 576 723 886 964 1152 1329 1446 1772 1928 2169 2658 2892 3544 3856 3987 4338 5316 5784 7088 7712 7974 8676 10632 11568 14176 15424 15948 17352 21264 23136 28352 30848 31896 34704 42528 46272 56704 63792 69408 85056 92544 106763 127584 138816 170112 213526 255168 277632 320289 427052 510336 640578 854104 960867 1281156 1708208 1921734 2562312 3416416 3843468 5124624 6832832 7686936 10249248 13665664 15373872 20498496 30747744 40996992 61495488 122990976