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1030233420 = 223254722591
BaseRepresentation
bin111101011010000…
…001110101001100
32122210120021120100
4331122001311030
54102214432140
6250121251100
734346560656
oct7532016514
92583507510
101030233420
114895a3687
12249033a90
13135594498
149ab7b6d6
15606a4530
hex3d681d4c

1030233420 has 108 divisors (see below), whose sum is σ = 3194178624. Its totient is φ = 268779840.

The previous prime is 1030233419. The next prime is 1030233461. The reversal of 1030233420 is 243320301.

1030233420 is a `hidden beast` number, since 10 + 3 + 0 + 233 + 420 = 666.

1030233420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10302334202 = 2122761799369792800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1030233393 and 1030233402.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 396325 + ... + 398915.

It is an arithmetic number, because the mean of its divisors is an integer number (29575728).

Almost surely, 21030233420 is an apocalyptic number.

1030233420 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 1030233420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597089312).

1030233420 is an abundant number, since it is smaller than the sum of its proper divisors (2163945204).

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

1030233420 is a wasteful number, since it uses less digits than its factorization.

1030233420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1030233420 is about 32097.2494148642. The cubic root of 1030233420 is about 1009.9779167148.

Adding to 1030233420 its reverse (243320301), we get a palindrome (1273553721).

The spelling of 1030233420 in words is "one billion, thirty million, two hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2209 2591 2820 4230 4418 5182 6627 7773 8460 8836 10364 11045 12955 13254 15546 19881 22090 23319 25910 26508 31092 33135 38865 39762 44180 46638 51820 66270 77730 79524 93276 99405 116595 121777 132540 155460 198810 233190 243554 365331 397620 466380 487108 608885 730662 1095993 1217770 1461324 1826655 2191986 2435540 3653310 4383972 5479965 5723519 7306620 10959930 11447038 17170557 21919860 22894076 28617595 34341114 51511671 57235190 68682228 85852785 103023342 114470380 171705570 206046684 257558355 343411140 515116710 1030233420