Search a number
-
+
682490900 = 2252713372027
BaseRepresentation
bin101000101011011…
…111110000010100
31202120020010111202
4220223133300110
52344204202100
6151420052032
722625035250
oct5053376024
91676203452
10682490900
11320280573
12170694018
13ab51b990
14668db260
153edb47d5
hex28adfc14

682490900 has 144 divisors (see below), whose sum is σ = 1872963456. Its totient is φ = 210055680.

The previous prime is 682490899. The next prime is 682490927. The reversal of 682490900 is 9094286.

682490900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 335687 + ... + 337713.

Almost surely, 2682490900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682490900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936481728).

682490900 is an abundant number, since it is smaller than the sum of its proper divisors (1190472556).

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

682490900 is a wasteful number, since it uses less digits than its factorization.

682490900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 682490900 is about 26124.5267899727. The cubic root of 682490900 is about 880.4383577049.

The spelling of 682490900 in words is "six hundred eighty-two million, four hundred ninety thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 37 50 52 65 70 74 91 100 130 140 148 175 182 185 259 260 325 350 364 370 455 481 518 650 700 740 910 925 962 1036 1295 1300 1820 1850 1924 2027 2275 2405 2590 3367 3700 4054 4550 4810 5180 6475 6734 8108 9100 9620 10135 12025 12950 13468 14189 16835 20270 24050 25900 26351 28378 33670 40540 48100 50675 52702 56756 67340 70945 74999 84175 101350 105404 131755 141890 149998 168350 184457 202700 263510 283780 299996 336700 354725 368914 374995 524993 527020 658775 709450 737828 749990 922285 974987 1049986 1317550 1418900 1499980 1844570 1874975 1949974 2099972 2624965 2635100 3689140 3749950 3899948 4611425 4874935 5249930 6824909 7499900 9222850 9749870 10499860 13124825 13649818 18445700 19499740 24374675 26249650 27299636 34124545 48749350 52499300 68249090 97498700 136498180 170622725 341245450 682490900