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4007070 = 23551797
BaseRepresentation
bin1111010010010010011110
321112120200000
433102102132
52011211240
6221515130
746026264
oct17222236
97476600
104007070
112297631
121412aa6
13aa3b62
14764434
15542430
hex3d249e

4007070 has 96 divisors (see below), whose sum is σ = 11557728. Its totient is φ = 995328.

The previous prime is 4007039. The next prime is 4007071. The reversal of 4007070 is 707004.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007071) 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, 41262 + ... + 41358.

It is an arithmetic number, because the mean of its divisors is an integer number (120393).

Almost surely, 24007070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4007070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778864).

4007070 is an abundant number, since it is smaller than the sum of its proper divisors (7550658).

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

4007070 is a wasteful number, since it uses less digits than its factorization.

4007070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 4007070 is about 2001.7667196754. The cubic root of 4007070 is about 158.8335745281.

The spelling of 4007070 in words is "four million, seven thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 97 102 135 153 162 170 194 243 255 270 291 306 405 459 485 486 510 582 765 810 873 918 970 1215 1377 1455 1530 1649 1746 2295 2430 2619 2754 2910 3298 4131 4365 4590 4947 5238 6885 7857 8245 8262 8730 9894 13095 13770 14841 15714 16490 20655 23571 24735 26190 29682 39285 41310 44523 47142 49470 74205 78570 89046 117855 133569 148410 222615 235710 267138 400707 445230 667845 801414 1335690 2003535 4007070