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122996970 = 23257397193
BaseRepresentation
bin1110101010011…
…00100011101010
322120102220010100
413111030203222
5222441400340
620112130230
73022312515
oct725144352
9276386110
10122996970
1163479498
1235236976
131c636095
1412499d7c
15abe8830
hex754c8ea

122996970 has 96 divisors (see below), whose sum is σ = 329211792. Its totient is φ = 31850496.

The previous prime is 122996969. The next prime is 122996983. The reversal of 122996970 is 79699221.

It can be written as a sum of positive squares in 8 ways, for example, as 37785609 + 85211361 = 6147^2 + 9231^2 .

It is a super-3 number, since 3×1229969703 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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, 637194 + ... + 637386.

Almost surely, 2122996970 is an apocalyptic number.

122996970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122996970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164605896).

122996970 is an abundant number, since it is smaller than the sum of its proper divisors (206214822).

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

122996970 is a wasteful number, since it uses less digits than its factorization.

122996970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 373 counting only the distinct ones).

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

The square root of 122996970 is about 11090.3999026185. The cubic root of 122996970 is about 497.3148996171.

The spelling of 122996970 in words is "one hundred twenty-two million, nine hundred ninety-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 97 146 193 194 219 291 365 386 438 485 579 582 657 730 873 965 970 1095 1158 1314 1455 1737 1746 1930 2190 2895 2910 3285 3474 4365 5790 6570 7081 8685 8730 14089 14162 17370 18721 21243 28178 35405 37442 42267 42486 56163 63729 70445 70810 84534 93605 106215 112326 126801 127458 140890 168489 187210 211335 212430 253602 280815 318645 336978 422670 561630 634005 637290 842445 1268010 1366633 1684890 2733266 4099899 6833165 8199798 12299697 13666330 20499495 24599394 40998990 61498485 122996970