Search a number
-
+
126837144 = 23337149563
BaseRepresentation
bin1111000111101…
…10000110011000
322211122222212000
413203312012120
5224432242034
620330321000
73100045410
oct743660630
9284588760
10126837144
1165661695
1236589160
132037bc85
1412bb9640
15b206599
hex78f6198

126837144 has 128 divisors (see below), whose sum is σ = 406080000. Its totient is φ = 35932032.

The previous prime is 126837127. The next prime is 126837163. The reversal of 126837144 is 441738621.

It is a super-2 number, since 2×1268371442 = 32175322196153472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 126837099 and 126837108.

It is a congruent number.

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, 225007 + ... + 225569.

It is an arithmetic number, because the mean of its divisors is an integer number (3172500).

Almost surely, 2126837144 is an apocalyptic number.

126837144 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 126837144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203040000).

126837144 is an abundant number, since it is smaller than the sum of its proper divisors (279242856).

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

126837144 is a wasteful number, since it uses less digits than its factorization.

126837144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 126837144 is about 11262.1997851219. The cubic root of 126837144 is about 502.4376220187.

The spelling of 126837144 in words is "one hundred twenty-six million, eight hundred thirty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 149 168 189 216 252 298 378 447 504 563 596 756 894 1043 1126 1192 1341 1512 1689 1788 2086 2252 2682 3129 3378 3576 3941 4023 4172 4504 5067 5364 6258 6756 7882 8046 8344 9387 10134 10728 11823 12516 13512 15201 15764 16092 18774 20268 23646 25032 28161 30402 31528 32184 35469 37548 40536 47292 56322 60804 70938 75096 83887 94584 106407 112644 121608 141876 167774 212814 225288 251661 283752 335548 425628 503322 587209 671096 754983 851256 1006644 1174418 1509966 1761627 2013288 2264949 2348836 3019932 3523254 4529898 4697672 5284881 6039864 7046508 9059796 10569762 14093016 15854643 18119592 21139524 31709286 42279048 63418572 126837144