Search a number
-
+
1190394144 = 2534459257
BaseRepresentation
bin100011011110011…
…1111100100100000
310001221221021210000
41012330333210200
54414220103034
6314042140000
741333116602
oct10674774440
93057837700
101190394144
11560a45815
122927b1600
1315c810144
14b414d172
156e78e599
hex46f3f920

1190394144 has 60 divisors (see below), whose sum is σ = 3500923734. Its totient is φ = 396797184.

The previous prime is 1190394131. The next prime is 1190394169. The reversal of 1190394144 is 4414930911.

It can be written as a sum of positive squares in only one way, i.e., 947408400 + 242985744 = 30780^2 + 15588^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1190394099 and 1190394108.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 227037 + ... + 232220.

Almost surely, 21190394144 is an apocalyptic number.

It is an amenable number.

1190394144 is an abundant number, since it is smaller than the sum of its proper divisors (2310529590).

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

1190394144 is an equidigital number, since it uses as much as digits as its factorization.

1190394144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459279 (or 459262 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1190394144 is about 34502.0889802342. The cubic root of 1190394144 is about 1059.8154846744.

The spelling of 1190394144 in words is "one billion, one hundred ninety million, three hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 459257 918514 1377771 1837028 2755542 3674056 4133313 5511084 7348112 8266626 11022168 12399939 14696224 16533252 22044336 24799878 33066504 37199817 44088672 49599756 66133008 74399634 99199512 132266016 148799268 198399024 297598536 396798048 595197072 1190394144