Search a number
-
+
1406191040 = 26517258491
BaseRepresentation
bin101001111010000…
…1100010111000000
310121222222220110122
41103310030113000
510334441103130
6351311315412
746563266222
oct12364142700
93558886418
101406191040
11661838161
12332b1bb68
13195438707
14d4a84412
15836b92e5
hex53d0c5c0

1406191040 has 56 divisors (see below), whose sum is σ = 3545476272. Its totient is φ = 529387520.

The previous prime is 1406191037. The next prime is 1406191049. The reversal of 1406191040 is 401916041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406191049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123806 + ... + 134685.

Almost surely, 21406191040 is an apocalyptic number.

1406191040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1406191040 is an abundant number, since it is smaller than the sum of its proper divisors (2139285232).

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

1406191040 is a wasteful number, since it uses less digits than its factorization.

1406191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258525 (or 258515 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1406191040 is about 37499.2138584264. The cubic root of 1406191040 is about 1120.3355287242.

The spelling of 1406191040 in words is "one billion, four hundred six million, one hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 258491 516982 1033964 1292455 2067928 2584910 4135856 4394347 5169820 8271712 8788694 10339640 16543424 17577388 20679280 21971735 35154776 41358560 43943470 70309552 82717120 87886940 140619104 175773880 281238208 351547760 703095520 1406191040