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420522192 = 2436311163
BaseRepresentation
bin11001000100001…
…010100011010000
31002022021202000000
4121010022203100
51330123202232
6105421130000
713264244136
oct3104124320
91068252000
10420522192
111a6412602
12b89b9900
13691785cc
143dbc7756
1526db927c
hex1910a8d0

420522192 has 140 divisors (see below), whose sum is σ = 1262073984. Its totient is φ = 135535680.

The previous prime is 420522143. The next prime is 420522197. The reversal of 420522192 is 291225024.

It is a happy number.

420522192 is a `hidden beast` number, since 420 + 52 + 2 + 192 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420522197) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 361003 + ... + 362165.

Almost surely, 2420522192 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 420522192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631036992).

420522192 is an abundant number, since it is smaller than the sum of its proper divisors (841551792).

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

420522192 is a wasteful number, since it uses less digits than its factorization.

420522192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 420522192 is about 20506.6377546393. The cubic root of 420522192 is about 749.1974775833.

It can be divided in two parts, 42052 and 2192, that added together give a palindrome (44244).

The spelling of 420522192 in words is "four hundred twenty million, five hundred twenty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 243 248 279 324 372 432 486 496 558 648 729 744 837 972 1116 1163 1296 1458 1488 1674 1944 2232 2326 2511 2916 3348 3489 3888 4464 4652 5022 5832 6696 6978 7533 9304 10044 10467 11664 13392 13956 15066 18608 20088 20934 22599 27912 30132 31401 36053 40176 41868 45198 55824 60264 62802 72106 83736 90396 94203 108159 120528 125604 144212 167472 180792 188406 216318 251208 282609 288424 324477 361584 376812 432636 502416 565218 576848 648954 753624 847827 865272 973431 1130436 1297908 1507248 1695654 1730544 1946862 2260872 2595816 2920293 3391308 3893724 4521744 5191632 5840586 6782616 7787448 8760879 11681172 13565232 15574896 17521758 23362344 26282637 35043516 46724688 52565274 70087032 105130548 140174064 210261096 420522192