Search a number
-
+
126650640 = 24354161211
BaseRepresentation
bin1111000110010…
…00100100010000
322211022112000110
413203020210100
5224410310030
620322321320
73065340564
oct743104420
9284275013
10126650640
1165544556
12364b9240
132031510c
1412b6b6a4
15b1bb1b0
hex78c8910

126650640 has 160 divisors (see below), whose sum is σ = 410723712. Its totient is φ = 32256000.

The previous prime is 126650633. The next prime is 126650651. The reversal of 126650640 is 46056621.

126650640 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×1266506402 = 32080769224819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 126650598 and 126650607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600135 + ... + 600345.

Almost surely, 2126650640 is an apocalyptic number.

126650640 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 126650640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205361856).

126650640 is an abundant number, since it is smaller than the sum of its proper divisors (284073072).

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

126650640 is a wasteful number, since it uses less digits than its factorization.

126650640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 126650640 is about 11253.9166515485. The cubic root of 126650640 is about 502.1912362722.

The spelling of 126650640 in words is "one hundred twenty-six million, six hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 61 80 82 120 122 123 164 183 205 211 240 244 246 305 328 366 410 422 488 492 610 615 633 656 732 820 844 915 976 984 1055 1220 1230 1266 1464 1640 1688 1830 1968 2110 2440 2460 2501 2532 2928 3165 3280 3376 3660 4220 4880 4920 5002 5064 6330 7320 7503 8440 8651 9840 10004 10128 12505 12660 12871 14640 15006 16880 17302 20008 25010 25320 25742 25953 30012 34604 37515 38613 40016 43255 50020 50640 51484 51906 60024 64355 69208 75030 77226 86510 100040 102968 103812 120048 128710 129765 138416 150060 154452 173020 193065 200080 205936 207624 257420 259530 300120 308904 346040 386130 415248 514840 519060 527711 600240 617808 692080 772260 1029680 1038120 1055422 1544520 1583133 2076240 2110844 2638555 3089040 3166266 4221688 5277110 6332532 7915665 8443376 10554220 12665064 15831330 21108440 25330128 31662660 42216880 63325320 126650640