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195731040 = 2535409997
BaseRepresentation
bin10111010101010…
…01111001100000
3111122022011111210
423222221321200
5400101343130
631231110120
74564454301
oct1352517140
9448264453
10195731040
11a053769a
1255672340
13317211ab
141bdd07a8
15122b45b0
hexbaa9e60

195731040 has 96 divisors (see below), whose sum is σ = 618680160. Its totient is φ = 52015104.

The previous prime is 195731023. The next prime is 195731057. The reversal of 195731040 is 40137591.

195731040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (195731023) and next prime (195731057).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 195730989 and 195731007.

It is a congruent number.

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, 195822 + ... + 196818.

It is an arithmetic number, because the mean of its divisors is an integer number (6444585).

Almost surely, 2195731040 is an apocalyptic number.

195731040 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 195731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309340080).

195731040 is an abundant number, since it is smaller than the sum of its proper divisors (422949120).

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

195731040 is a wasteful number, since it uses less digits than its factorization.

195731040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 195731040 is about 13990.3909881032. The cubic root of 195731040 is about 580.6127491744.

The spelling of 195731040 in words is "one hundred ninety-five million, seven hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 409 480 818 997 1227 1636 1994 2045 2454 2991 3272 3988 4090 4908 4985 5982 6135 6544 7976 8180 9816 9970 11964 12270 13088 14955 15952 16360 19632 19940 23928 24540 29910 31904 32720 39264 39880 47856 49080 59820 65440 79760 95712 98160 119640 159520 196320 239280 407773 478560 815546 1223319 1631092 2038865 2446638 3262184 4077730 4893276 6116595 6524368 8155460 9786552 12233190 13048736 16310920 19573104 24466380 32621840 39146208 48932760 65243680 97865520 195731040