Search a number
-
+
1940280 = 2335192337
BaseRepresentation
bin111011001101100111000
310122120120020
413121230320
5444042110
6105330440
722330536
oct7315470
93576506
101940280
111105841
12796a20
1352c1c4
14387156
15284d70
hex1d9b38

1940280 has 128 divisors (see below), whose sum is σ = 6566400. Its totient is φ = 456192.

The previous prime is 1940269. The next prime is 1940293. The reversal of 1940280 is 820491.

1940280 = T191 + T192 + ... + T264.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1940280.

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, 52422 + ... + 52458.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

21940280 is an apocalyptic number.

1940280 is a gapful number since it is divisible by the number (10) 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 1940280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283200).

1940280 is an abundant number, since it is smaller than the sum of its proper divisors (4626120).

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

1940280 is a wasteful number, since it uses less digits than its factorization.

1940280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1940280 is about 1392.9393382341. The cubic root of 1940280 is about 124.7253704039.

The spelling of 1940280 in words is "one million, nine hundred forty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 37 38 40 46 57 60 69 74 76 92 95 111 114 115 120 138 148 152 184 185 190 222 228 230 276 285 296 345 370 380 437 444 456 460 552 555 570 690 703 740 760 851 874 888 920 1110 1140 1311 1380 1406 1480 1702 1748 2109 2185 2220 2280 2553 2622 2760 2812 3404 3496 3515 4218 4255 4370 4440 5106 5244 5624 6555 6808 7030 8436 8510 8740 10212 10488 10545 12765 13110 14060 16169 16872 17020 17480 20424 21090 25530 26220 28120 32338 34040 42180 48507 51060 52440 64676 80845 84360 97014 102120 129352 161690 194028 242535 323380 388056 485070 646760 970140 1940280