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103076040 = 23357983131
BaseRepresentation
bin1100010010011…
…01000011001000
321011221210202010
412021031003020
5202341413130
614121135520
72361063144
oct611150310
9234853663
10103076040
1153202611
122a62a5a0
131847c952
14d992224
1590b10b0
hex624d0c8

103076040 has 128 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 26607360.

The previous prime is 103076033. The next prime is 103076047. The reversal of 103076040 is 40670301.

It is an interprime number because it is at equal distance from previous prime (103076033) and next prime (103076047).

It is a junction number, because it is equal to n+sod(n) for n = 103075998 and 103076016.

It is not an unprimeable number, because it can be changed into a prime (103076047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786775 + ... + 786905.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2103076040 is an apocalyptic number.

103076040 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 103076040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

103076040 is an abundant number, since it is smaller than the sum of its proper divisors (216258360).

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

103076040 is a wasteful number, since it uses less digits than its factorization.

103076040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

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

The square root of 103076040 is about 10152.6370958485. The cubic root of 103076040 is about 468.8701395170.

The spelling of 103076040 in words is "one hundred three million, seventy-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 83 120 131 158 166 237 249 262 316 332 393 395 415 474 498 524 632 655 664 786 790 830 948 996 1048 1185 1245 1310 1572 1580 1660 1896 1965 1992 2370 2490 2620 3144 3160 3320 3930 4740 4980 5240 6557 7860 9480 9960 10349 10873 13114 15720 19671 20698 21746 26228 31047 32619 32785 39342 41396 43492 51745 52456 54365 62094 65238 65570 78684 82792 86984 98355 103490 108730 124188 130476 131140 155235 157368 163095 196710 206980 217460 248376 260952 262280 310470 326190 393420 413960 434920 620940 652380 786840 858967 1241880 1304760 1717934 2576901 3435868 4294835 5153802 6871736 8589670 10307604 12884505 17179340 20615208 25769010 34358680 51538020 103076040