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1030020432 = 24374396983
BaseRepresentation
bin111101011001001…
…101110101010000
32122210011110101220
4331121031311100
54102141123212
6250112525040
734345013010
oct7531156520
92583143356
101030020432
11489468661
12248b50780
1313551b55c
149ab23c40
156066138c
hex3d64dd50

1030020432 has 80 divisors (see below), whose sum is σ = 3048376320. Its totient is φ = 293579136.

The previous prime is 1030020427. The next prime is 1030020469. The reversal of 1030020432 is 2340200301.

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, 144013 + ... + 150995.

It is an arithmetic number, because the mean of its divisors is an integer number (38104704).

Almost surely, 21030020432 is an apocalyptic number.

1030020432 is a gapful number since it is divisible by the number (12) 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 1030020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524188160).

1030020432 is an abundant number, since it is smaller than the sum of its proper divisors (2018355888).

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

1030020432 is a wasteful number, since it uses less digits than its factorization.

1030020432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7440 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1030020432 is about 32093.9313889713. The cubic root of 1030020432 is about 1009.9083117761.

Adding to 1030020432 its reverse (2340200301), we get a palindrome (3370220733).

The spelling of 1030020432 in words is "one billion, thirty million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 439 878 1317 1756 2634 3073 3512 5268 6146 6983 7024 9219 10536 12292 13966 18438 20949 21072 24584 27932 36876 41898 48881 49168 55864 73752 83796 97762 111728 146643 147504 167592 195524 293286 335184 391048 586572 782096 1173144 2346288 3065537 6131074 9196611 12262148 18393222 21458759 24524296 36786444 42917518 49048592 64376277 73572888 85835036 128752554 147145776 171670072 257505108 343340144 515010216 1030020432