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1030401320 = 235132968329
BaseRepresentation
bin111101011010101…
…010110100101000
32122210212210212212
4331122222310220
54102240320240
6250125024252
734351160324
oct7532526450
92583783785
101030401320
114896a8843
122490b5088
13135622a30
149abc2984
15606d9165
hex3d6aad28

1030401320 has 64 divisors (see below), whose sum is σ = 2582874000. Its totient is φ = 367331328.

The previous prime is 1030401319. The next prime is 1030401341. The reversal of 1030401320 is 231040301.

It can be written as a sum of positive squares in 8 ways, for example, as 551404324 + 478996996 = 23482^2 + 21886^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1030401295 and 1030401304.

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, 19085 + ... + 49244.

Almost surely, 21030401320 is an apocalyptic number.

1030401320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030401320 is an abundant number, since it is smaller than the sum of its proper divisors (1552472680).

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

1030401320 is a wasteful number, since it uses less digits than its factorization.

1030401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68382 (or 68378 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1030401320 is about 32099.8647972231. The cubic root of 1030401320 is about 1010.0327800360.

Adding to 1030401320 its reverse (231040301), we get a palindrome (1261441621).

The spelling of 1030401320 in words is "one billion, thirty million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3770 7540 15080 68329 136658 273316 341645 546632 683290 888277 1366580 1776554 1981541 2733160 3553108 3963082 4441385 7106216 7926164 8882770 9907705 15852328 17765540 19815410 25760033 35531080 39630820 51520066 79261640 103040132 128800165 206080264 257600330 515200660 1030401320