Search a number
-
+
127149240 = 23353113407
BaseRepresentation
bin1111001010000…
…10010010111000
322212020211222010
413211002102320
5230022233430
620341125520
73102515331
oct745022270
9285224863
10127149240
1165855119
12366b98a0
132045b04a
1412c5b288
15b268cb0
hex79424b8

127149240 has 64 divisors (see below), whose sum is σ = 382786560. Its totient is φ = 33787520.

The previous prime is 127149223. The next prime is 127149247. The reversal of 127149240 is 42941721.

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 = 127149198 and 127149207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127149247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35617 + ... + 39023.

It is an arithmetic number, because the mean of its divisors is an integer number (5981040).

Almost surely, 2127149240 is an apocalyptic number.

127149240 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 127149240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191393280).

127149240 is an abundant number, since it is smaller than the sum of its proper divisors (255637320).

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

127149240 is a wasteful number, since it uses less digits than its factorization.

127149240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 127149240 is about 11276.0471797523. The cubic root of 127149240 is about 502.8493845037.

The spelling of 127149240 in words is "one hundred twenty-seven million, one hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 311 622 933 1244 1555 1866 2488 3110 3407 3732 4665 6220 6814 7464 9330 10221 12440 13628 17035 18660 20442 27256 34070 37320 40884 51105 68140 81768 102210 136280 204420 408840 1059577 2119154 3178731 4238308 5297885 6357462 8476616 10595770 12714924 15893655 21191540 25429848 31787310 42383080 63574620 127149240