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122140740 = 22351925639
BaseRepresentation
bin1110100011110…
…11100001000100
322111211101121010
413101323201010
5222232000430
620041522220
73012115311
oct721734104
9274741533
10122140740
1162a44167
1234aa3370
131c3c6437
1412315d08
15aac9cb0
hex747b844

122140740 has 72 divisors (see below), whose sum is σ = 361005120. Its totient is φ = 30851136.

The previous prime is 122140717. The next prime is 122140747. The reversal of 122140740 is 47041221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122140747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18841 + ... + 24479.

It is an arithmetic number, because the mean of its divisors is an integer number (5013960).

Almost surely, 2122140740 is an apocalyptic number.

122140740 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 122140740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180502560).

122140740 is an abundant number, since it is smaller than the sum of its proper divisors (238864380).

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

122140740 is a wasteful number, since it uses less digits than its factorization.

122140740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 122140740 is about 11051.7301812884. The cubic root of 122140740 is about 496.1582102393.

Adding to 122140740 its reverse (47041221), we get a palindrome (169181961).

The spelling of 122140740 in words is "one hundred twenty-two million, one hundred forty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 2166 3610 4332 5415 5639 7220 10830 11278 16917 21660 22556 28195 33834 56390 67668 84585 107141 112780 169170 214282 321423 338340 428564 535705 642846 1071410 1285692 1607115 2035679 2142820 3214230 4071358 6107037 6428460 8142716 10178395 12214074 20356790 24428148 30535185 40713580 61070370 122140740