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1950240 = 253517239
BaseRepresentation
bin111011100001000100000
310200002020010
413130020200
5444401430
6105444520
722401555
oct7341040
93602203
101950240
111112276
127a0740
135338b6
1438aa2c
15287cb0
hex1dc220

1950240 has 96 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 487424.

The previous prime is 1950227. The next prime is 1950253. The reversal of 1950240 is 420591.

It is an interprime number because it is at equal distance from previous prime (1950227) and next prime (1950253).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8041 + ... + 8279.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

21950240 is an apocalyptic number.

1950240 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 1950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

1950240 is an abundant number, since it is smaller than the sum of its proper divisors (4581600).

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

1950240 is a wasteful number, since it uses less digits than its factorization.

1950240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1950240 is about 1396.5099355178. The cubic root of 1950240 is about 124.9384230045.

The spelling of 1950240 in words is "one million, nine hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 239 240 255 272 340 408 478 480 510 544 680 717 816 956 1020 1195 1360 1434 1632 1912 2040 2390 2720 2868 3585 3824 4063 4080 4780 5736 7170 7648 8126 8160 9560 11472 12189 14340 16252 19120 20315 22944 24378 28680 32504 38240 40630 48756 57360 60945 65008 81260 97512 114720 121890 130016 162520 195024 243780 325040 390048 487560 650080 975120 1950240