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103464540 = 2235561349
BaseRepresentation
bin1100010101010…
…11111001011100
321012200112200000
412022223321130
5202441331130
614133334300
72364301614
oct612537134
9235615600
10103464540
1153448493
122a797390
131858772a
14da53a44
15913b260
hex62abe5c

103464540 has 144 divisors (see below), whose sum is σ = 331749600. Its totient is φ = 27060480.

The previous prime is 103464497. The next prime is 103464551. The reversal of 103464540 is 45464301.

103464540 is a `hidden beast` number, since 10 + 3 + 4 + 645 + 4 + 0 = 666.

It is a super-2 number, since 2×1034645402 = 21409822074823200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296286 + ... + 296634.

Almost surely, 2103464540 is an apocalyptic number.

103464540 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 103464540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165874800).

103464540 is an abundant number, since it is smaller than the sum of its proper divisors (228285060).

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

103464540 is a wasteful number, since it uses less digits than its factorization.

103464540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 103464540 is about 10171.7520614691. The cubic root of 103464540 is about 469.4584678835.

The spelling of 103464540 in words is "one hundred three million, four hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 81 90 108 122 135 162 180 183 243 244 270 305 324 349 366 405 486 540 549 610 698 732 810 915 972 1047 1098 1215 1220 1396 1620 1647 1745 1830 2094 2196 2430 2745 3141 3294 3490 3660 4188 4860 4941 5235 5490 6282 6588 6980 8235 9423 9882 10470 10980 12564 14823 15705 16470 18846 19764 20940 21289 24705 28269 29646 31410 32940 37692 42578 47115 49410 56538 59292 62820 63867 74115 84807 85156 94230 98820 106445 113076 127734 141345 148230 169614 188460 191601 212890 255468 282690 296460 319335 339228 383202 424035 425780 565380 574803 638670 766404 848070 958005 1149606 1277340 1696140 1724409 1916010 2299212 2874015 3448818 3832020 5173227 5748030 6897636 8622045 10346454 11496060 17244090 20692908 25866135 34488180 51732270 103464540