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122042240 = 275414651
BaseRepresentation
bin1110100011000…
…11011110000000
322111122101110222
413101203132000
5222220322430
620035442212
73011225165
oct721433600
9274571428
10122042240
1162987161
1234a56368
131c390658
14122cc06c
15aaaa9e5
hex7463780

122042240 has 64 divisors (see below), whose sum is σ = 298937520. Its totient is φ = 47616000.

The previous prime is 122042233. The next prime is 122042251. The reversal of 122042240 is 42240221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23915 + ... + 28565.

Almost surely, 2122042240 is an apocalyptic number.

122042240 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 122042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149468760).

122042240 is an abundant number, since it is smaller than the sum of its proper divisors (176895280).

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

122042240 is an equidigital number, since it uses as much as digits as its factorization.

122042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 122042240 is about 11047.2729666647. The cubic root of 122042240 is about 496.0247993150.

Adding to 122042240 its reverse (42240221), we get a palindrome (164282461).

The spelling of 122042240 in words is "one hundred twenty-two million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 320 328 410 640 656 820 1312 1640 2624 3280 4651 5248 6560 9302 13120 18604 23255 26240 37208 46510 74416 93020 148832 186040 190691 297664 372080 381382 595328 744160 762764 953455 1488320 1525528 1906910 2976640 3051056 3813820 6102112 7627640 12204224 15255280 24408448 30510560 61021120 122042240