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1040214140 = 225723113413
BaseRepresentation
bin111110000000000…
…110100001111100
32200111100100112122
4332000012201330
54112243323030
6251115222112
734530450200
oct7600064174
92614310478
101040214140
114941a0309
12250447938
1313767a334
149c218b00
15614c68e5
hex3e00687c

1040214140 has 72 divisors (see below), whose sum is σ = 2550012192. Its totient is φ = 355393920.

The previous prime is 1040214127. The next prime is 1040214143. The reversal of 1040214140 is 414120401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040214143) 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 23 ways as a sum of consecutive naturals, for example, 303074 + ... + 306486.

It is an arithmetic number, because the mean of its divisors is an integer number (35416836).

Almost surely, 21040214140 is an apocalyptic number.

1040214140 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 1040214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275006096).

1040214140 is an abundant number, since it is smaller than the sum of its proper divisors (1509798052).

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

1040214140 is a wasteful number, since it uses less digits than its factorization.

1040214140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1040214140 is about 32252.3509220646. The cubic root of 1040214140 is about 1013.2289368540.

Adding to 1040214140 its reverse (414120401), we get a palindrome (1454334541).

It can be divided in two parts, 10402 and 14140, that added together give a palindrome (24542).

The spelling of 1040214140 in words is "one billion, forty million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 311 490 622 980 1244 1555 2177 3110 3413 4354 6220 6826 8708 10885 13652 15239 17065 21770 23891 30478 34130 43540 47782 60956 68260 76195 95564 119455 152390 167237 238910 304780 334474 477820 668948 836185 1061443 1672370 2122886 3344740 4245772 5307215 7430101 10614430 14860202 21228860 29720404 37150505 52010707 74301010 104021414 148602020 208042828 260053535 520107070 1040214140