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42720700 = 22521171547
BaseRepresentation
bin1010001011110…
…1110110111100
32222101102210011
42202331312330
541414030300
64123353004
71026056101
oct242756674
988342704
1042720700
1122129770
1212382764
138b0a029
145960aa8
153b3ceba
hex28bddbc

42720700 has 72 divisors (see below), whose sum is σ = 102743424. Its totient is φ = 15288000.

The previous prime is 42720659. The next prime is 42720709. The reversal of 42720700 is 702724.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42720709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77827 + ... + 78373.

It is an arithmetic number, because the mean of its divisors is an integer number (1426992).

Almost surely, 242720700 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 42720700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51371712).

42720700 is an abundant number, since it is smaller than the sum of its proper divisors (60022724).

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

42720700 is a wasteful number, since it uses less digits than its factorization.

42720700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 42720700 is about 6536.1074042583. The cubic root of 42720700 is about 349.5796313715.

The spelling of 42720700 in words is "forty-two million, seven hundred twenty thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 220 275 284 355 547 550 710 781 1094 1100 1420 1562 1775 2188 2735 3124 3550 3905 5470 6017 7100 7810 10940 12034 13675 15620 19525 24068 27350 30085 38837 39050 54700 60170 77674 78100 120340 150425 155348 194185 300850 388370 427207 601700 776740 854414 970925 1708828 1941850 2136035 3883700 4272070 8544140 10680175 21360350 42720700