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1030400670 = 23513103113227
BaseRepresentation
bin111101011010101…
…010101010011110
32122210212202222210
4331122222222132
54102240310140
6250125021250
734351155405
oct7532525236
92583782883
101030400670
114896a8302
122490b4826
13135622650
149abc263c
15606d8d80
hex3d6aaa9e

1030400670 has 128 divisors (see below), whose sum is σ = 2724793344. Its totient is φ = 247855104.

The previous prime is 1030400669. The next prime is 1030400681. The reversal of 1030400670 is 760040301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4539097 + ... + 4539323.

It is an arithmetic number, because the mean of its divisors is an integer number (21287448).

Almost surely, 21030400670 is an apocalyptic number.

1030400670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030400670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362396672).

1030400670 is an abundant number, since it is smaller than the sum of its proper divisors (1694392674).

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

1030400670 is a wasteful number, since it uses less digits than its factorization.

1030400670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 1030400670 is about 32099.8546725682. The cubic root of 1030400670 is about 1010.0325676523.

Adding to 1030400670 its reverse (760040301), we get a palindrome (1790440971).

The spelling of 1030400670 in words is "one billion, thirty million, four hundred thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 103 113 130 195 206 226 227 309 339 390 454 515 565 618 678 681 1030 1130 1135 1339 1362 1469 1545 1695 2270 2678 2938 2951 3090 3390 3405 4017 4407 5902 6695 6810 7345 8034 8814 8853 11639 13390 14690 14755 17706 20085 22035 23278 23381 25651 29510 34917 40170 44070 44265 46762 51302 58195 69834 70143 76953 88530 116390 116905 128255 140286 151307 153906 174585 233810 256510 302614 303953 333463 349170 350715 384765 453921 607906 666926 701430 756535 769530 907842 911859 1000389 1513070 1519765 1667315 1823718 2000778 2269605 2642053 3039530 3334630 4539210 4559295 5001945 5284106 7926159 9118590 10003890 13210265 15852318 26420530 34346689 39630795 68693378 79261590 103040067 171733445 206080134 343466890 515200335 1030400670