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420700770 = 23357231799
BaseRepresentation
bin11001000100110…
…110001001100010
31002022121210222000
4121010312021202
51330144411040
6105425024430
713265616600
oct3104661142
91068553860
10420700770
111a6524796
12b8a85116
136920b989
143dc32870
1526e02130
hex19136262

420700770 has 96 divisors (see below), whose sum is σ = 1305072000. Its totient is φ = 96157152.

The previous prime is 420700769. The next prime is 420700771. The reversal of 420700770 is 77007024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420700769) and next prime (420700771).

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

It is not an unprimeable number, because it can be changed into a prime (420700771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2670 + ... + 29129.

It is an arithmetic number, because the mean of its divisors is an integer number (13594500).

Almost surely, 2420700770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420700770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652536000).

420700770 is an abundant number, since it is smaller than the sum of its proper divisors (884371230).

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

420700770 is a wasteful number, since it uses less digits than its factorization.

420700770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31829 (or 31816 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 420700770 is about 20510.9914436138. The cubic root of 420700770 is about 749.3035134088.

Adding to 420700770 its reverse (77007024), we get a palindrome (497707794).

The spelling of 420700770 in words is "four hundred twenty million, seven hundred thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1323 1470 1890 2205 2646 4410 6615 13230 31799 63598 95397 158995 190794 222593 286191 317990 445186 476985 572382 667779 858573 953970 1112965 1335558 1430955 1558151 1717146 2003337 2225930 2861910 3116302 3338895 4006674 4292865 4674453 6010011 6677790 7790755 8585730 9348906 10016685 12020022 14023359 15581510 20033370 23372265 28046718 30050055 42070077 46744530 60100110 70116795 84140154 140233590 210350385 420700770