Search a number
-
+
103114704 = 243711231213
BaseRepresentation
bin1100010010101…
…10011111010000
321012000202210010
412021112133100
5202344132304
614122034520
72361313650
oct611263720
9235022703
10103114704
1153229670
122a648a40
1318494424
14d9a2360
1590bc789
hex62567d0

103114704 has 160 divisors (see below), whose sum is σ = 346834944. Its totient is φ = 25597440.

The previous prime is 103114703. The next prime is 103114717. The reversal of 103114704 is 407411301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103114703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84402 + ... + 85614.

Almost surely, 2103114704 is an apocalyptic number.

103114704 is a gapful number since it is divisible by the number (14) 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 103114704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173417472).

103114704 is an abundant number, since it is smaller than the sum of its proper divisors (243720240).

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

103114704 is a wasteful number, since it uses less digits than its factorization.

103114704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 103114704 is about 10154.5410531446. The cubic root of 103114704 is about 468.9287568539.

The spelling of 103114704 in words is "one hundred three million, one hundred fourteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 33 42 44 46 48 56 66 69 77 84 88 92 112 132 138 154 161 168 176 184 231 253 264 276 308 322 336 368 462 483 506 528 552 616 644 759 924 966 1012 1104 1213 1232 1288 1518 1771 1848 1932 2024 2426 2576 3036 3542 3639 3696 3864 4048 4852 5313 6072 7084 7278 7728 8491 9704 10626 12144 13343 14168 14556 16982 19408 21252 25473 26686 27899 28336 29112 33964 40029 42504 50946 53372 55798 58224 67928 80058 83697 85008 93401 101892 106744 111596 135856 160116 167394 186802 195293 203784 213488 223192 280203 306889 320232 334788 373604 390586 407568 446384 560406 585879 613778 640464 669576 747208 781172 920667 1120812 1171758 1227556 1339152 1494416 1562344 1841334 2148223 2241624 2343516 2455112 3124688 3682668 4296446 4483248 4687032 4910224 6444669 7365336 8592892 9374064 12889338 14730672 17185784 25778676 34371568 51557352 103114704