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1040411040 = 25357927437
BaseRepresentation
bin111110000000110…
…110100110100000
32200111201100122020
4332000312212200
54112321123130
6251123341440
734532230224
oct7600664640
92614640566
101040411040
11494315239
12250521880
13137718b46
149c26a784
1561514e10
hex3e0369a0

1040411040 has 96 divisors (see below), whose sum is σ = 3318900480. Its totient is φ = 273921024.

The previous prime is 1040411023. The next prime is 1040411069. The reversal of 1040411040 is 401140401.

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 (15).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24202 + ... + 51638.

It is an arithmetic number, because the mean of its divisors is an integer number (34571880).

Almost surely, 21040411040 is an apocalyptic number.

1040411040 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 1040411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659450240).

1040411040 is an abundant number, since it is smaller than the sum of its proper divisors (2278489440).

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

1040411040 is a wasteful number, since it uses less digits than its factorization.

1040411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27534 (or 27526 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1040411040 is about 32255.4032682898. The cubic root of 1040411040 is about 1013.2928634961.

Adding to 1040411040 its reverse (401140401), we get a palindrome (1441551441).

The spelling of 1040411040 in words is "one billion, forty million, four hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 79 80 96 120 158 160 237 240 316 395 474 480 632 790 948 1185 1264 1580 1896 2370 2528 3160 3792 4740 6320 7584 9480 12640 18960 27437 37920 54874 82311 109748 137185 164622 219496 274370 329244 411555 438992 548740 658488 823110 877984 1097480 1316976 1646220 2167523 2194960 2633952 3292440 4335046 4389920 6502569 6584880 8670092 10837615 13005138 13169760 17340184 21675230 26010276 32512845 34680368 43350460 52020552 65025690 69360736 86700920 104041104 130051380 173401840 208082208 260102760 346803680 520205520 1040411040