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122403420 = 22335832731
BaseRepresentation
bin1110100101110…
…11101001011100
322112022201221000
413102323221130
5222313402140
620051310300
73014261166
oct722735134
9275281830
10122403420
1163103557
1234bab390
131c488b79
1412383936
15ab2ca30
hex74bba5c

122403420 has 96 divisors (see below), whose sum is σ = 385539840. Its totient is φ = 32235840.

The previous prime is 122403397. The next prime is 122403431. The reversal of 122403420 is 24304221.

122403420 is a `hidden beast` number, since 1 + 2 + 240 + 3 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122403393 and 122403402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43455 + ... + 46185.

It is an arithmetic number, because the mean of its divisors is an integer number (4016040).

Almost surely, 2122403420 is an apocalyptic number.

122403420 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 122403420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192769920).

122403420 is an abundant number, since it is smaller than the sum of its proper divisors (263136420).

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

122403420 is a wasteful number, since it uses less digits than its factorization.

122403420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 122403420 is about 11063.6079106230. The cubic root of 122403420 is about 496.5136404281.

Adding to 122403420 its reverse (24304221), we get a palindrome (146707641).

The spelling of 122403420 in words is "one hundred twenty-two million, four hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1494 1660 2241 2490 2731 2988 3735 4482 4980 5462 7470 8193 8964 10924 11205 13655 14940 16386 22410 24579 27310 32772 40965 44820 49158 54620 73737 81930 98316 122895 147474 163860 226673 245790 294948 368685 453346 491580 680019 737370 906692 1133365 1360038 1474740 2040057 2266730 2720076 3400095 4080114 4533460 6120171 6800190 8160228 10200285 12240342 13600380 20400570 24480684 30600855 40801140 61201710 122403420