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122047640 = 2351113191123
BaseRepresentation
bin1110100011001…
…00110010011000
322111122122212222
413101210302120
5222221011030
620035523212
73011250011
oct721446230
9274578788
10122047640
1162990220
1234a59508
131c392c50
14122d0008
15aaac3e5
hex7464c98

122047640 has 128 divisors (see below), whose sum is σ = 339897600. Its totient is φ = 38776320.

The previous prime is 122047633. The next prime is 122047643. The reversal of 122047640 is 46740221.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122047643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108119 + ... + 109241.

It is an arithmetic number, because the mean of its divisors is an integer number (2655450).

Almost surely, 2122047640 is an apocalyptic number.

122047640 is a gapful number since it is divisible by the number (10) 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 122047640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169948800).

122047640 is an abundant number, since it is smaller than the sum of its proper divisors (217849960).

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

122047640 is a wasteful number, since it uses less digits than its factorization.

122047640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 122047640 is about 11047.5173681692. The cubic root of 122047640 is about 496.0321150728.

Adding to 122047640 its reverse (46740221), we get a palindrome (168787861).

The spelling of 122047640 in words is "one hundred twenty-two million, forty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 19 20 22 26 38 40 44 52 55 65 76 88 95 104 110 130 143 152 190 209 220 247 260 286 380 418 440 494 520 572 715 760 836 988 1045 1123 1144 1235 1430 1672 1976 2090 2246 2470 2717 2860 4180 4492 4940 5434 5615 5720 8360 8984 9880 10868 11230 12353 13585 14599 21337 21736 22460 24706 27170 29198 42674 44920 49412 54340 58396 61765 72995 85348 98824 106685 108680 116792 123530 145990 160589 170696 213370 234707 247060 277381 291980 321178 426740 469414 494120 554762 583960 642356 802945 853480 938828 1109524 1173535 1284712 1386905 1605890 1877656 2219048 2347070 2773810 3051191 3211780 4694140 5547620 6102382 6423560 9388280 11095240 12204764 15255955 24409528 30511910 61023820 122047640