Search a number
-
+
7042980 = 2235741409
BaseRepresentation
bin11010110111011110100100
3111020211011010
4122313132210
53300333410
6410542220
7113602320
oct32673644
914224133
107042980
113a8054a
122437970
1315c7959
14d14980
15941c20
hex6b77a4

7042980 has 96 divisors (see below), whose sum is σ = 23143680. Its totient is φ = 1566720.

The previous prime is 7042961. The next prime is 7042993. The reversal of 7042980 is 892407.

7042980 = T441 + T442 + ... + T503.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17016 + ... + 17424.

It is an arithmetic number, because the mean of its divisors is an integer number (241080).

Almost surely, 27042980 is an apocalyptic number.

7042980 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7042980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11571840).

7042980 is an abundant number, since it is smaller than the sum of its proper divisors (16100700).

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

7042980 is a wasteful number, since it uses less digits than its factorization.

7042980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7042980 is about 2653.8613377492. The cubic root of 7042980 is about 191.6838329510.

The spelling of 7042980 in words is "seven million, forty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 409 410 420 492 574 615 818 820 861 1148 1227 1230 1435 1636 1722 2045 2454 2460 2863 2870 3444 4090 4305 4908 5726 5740 6135 8180 8589 8610 11452 12270 14315 16769 17178 17220 24540 28630 33538 34356 42945 50307 57260 67076 83845 85890 100614 117383 167690 171780 201228 234766 251535 335380 352149 469532 503070 586915 704298 1006140 1173830 1408596 1760745 2347660 3521490 7042980