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42316020 = 223558707
BaseRepresentation
bin1010000101101…
…1000011110100
32221121212200000
42201123003310
541313103040
64110551300
71022452215
oct241330364
987555600
1042316020
112198271a
1212208530
1389c7a86
14589740c
153aad130
hex285b0f4

42316020 has 72 divisors (see below), whose sum is σ = 133127904. Its totient is φ = 11282976.

The previous prime is 42316007. The next prime is 42316037. The reversal of 42316020 is 2061324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42315984 and 42316002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507 + ... + 9213.

Almost surely, 242316020 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 42316020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66563952).

42316020 is an abundant number, since it is smaller than the sum of its proper divisors (90811884).

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

42316020 is a wasteful number, since it uses less digits than its factorization.

42316020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8731 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42316020 is about 6505.0764791815. The cubic root of 42316020 is about 348.4723075619.

Adding to 42316020 its reverse (2061324), we get a palindrome (44377344).

The spelling of 42316020 in words is "forty-two million, three hundred sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 8707 17414 26121 34828 43535 52242 78363 87070 104484 130605 156726 174140 235089 261210 313452 391815 470178 522420 705267 783630 940356 1175445 1410534 1567260 2115801 2350890 2821068 3526335 4231602 4701780 7052670 8463204 10579005 14105340 21158010 42316020