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122402040 = 233517292069
BaseRepresentation
bin1110100101110…
…11010011111000
322112022200000220
413102323103320
5222313331130
620051300040
73014254155
oct722732370
9275280026
10122402040
1163102512
1234baa620
131c488357
141238322c
15ab2c410
hex74bb4f8

122402040 has 128 divisors (see below), whose sum is σ = 402408000. Its totient is φ = 29646848.

The previous prime is 122402039. The next prime is 122402081. The reversal of 122402040 is 40204221.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 58126 + ... + 60194.

Almost surely, 2122402040 is an apocalyptic number.

122402040 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 122402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201204000).

122402040 is an abundant number, since it is smaller than the sum of its proper divisors (280005960).

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

122402040 is a wasteful number, since it uses less digits than its factorization.

122402040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 122402040 is about 11063.5455438119. The cubic root of 122402040 is about 496.5117744906.

Adding to 122402040 its reverse (40204221), we get a palindrome (162606261).

The spelling of 122402040 in words is "one hundred twenty-two million, four hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 29 30 34 40 51 58 60 68 85 87 102 116 120 136 145 170 174 204 232 255 290 340 348 408 435 493 510 580 680 696 870 986 1020 1160 1479 1740 1972 2040 2069 2465 2958 3480 3944 4138 4930 5916 6207 7395 8276 9860 10345 11832 12414 14790 16552 19720 20690 24828 29580 31035 35173 41380 49656 59160 60001 62070 70346 82760 105519 120002 124140 140692 175865 180003 211038 240004 248280 281384 300005 351730 360006 422076 480008 527595 600010 703460 720012 844152 900015 1020017 1055190 1200020 1406920 1440024 1800030 2040034 2110380 2400040 3060051 3600060 4080068 4220760 5100085 6120102 7200120 8160136 10200170 12240204 15300255 20400340 24480408 30600510 40800680 61201020 122402040