Search a number
-
+
122013472 = 2571274289
BaseRepresentation
bin1110100010111…
…00011100100000
322111120221000111
413101130130200
5222213412342
620035101104
73011045260
oct721343440
9274527014
10122013472
1162967589
1234a41794
131c380529
14122c17a0
15aaa2217
hex745c720

122013472 has 48 divisors (see below), whose sum is σ = 276756480. Its totient is φ = 51867648.

The previous prime is 122013461. The next prime is 122013503. The reversal of 122013472 is 274310221.

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, 26304 + ... + 30592.

It is an arithmetic number, because the mean of its divisors is an integer number (5765760).

Almost surely, 2122013472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122013472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

122013472 is an abundant number, since it is smaller than the sum of its proper divisors (154743008).

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

122013472 is a wasteful number, since it uses less digits than its factorization.

122013472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 122013472 is about 11045.9708491377. The cubic root of 122013472 is about 495.9858216551.

Adding to 122013472 its reverse (274310221), we get a palindrome (396323693).

The spelling of 122013472 in words is "one hundred twenty-two million, thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 224 254 508 889 1016 1778 2032 3556 4064 4289 7112 8578 14224 17156 28448 30023 34312 60046 68624 120092 137248 240184 480368 544703 960736 1089406 2178812 3812921 4357624 7625842 8715248 15251684 17430496 30503368 61006736 122013472