Search a number
-
+
978735150 = 23452241663
BaseRepresentation
bin111010010101100…
…101000000101110
32112012122220020000
4322111211000232
54001024011100
6241041405130
733153053151
oct7225450056
92465586200
10978735150
1146251a228
122339397a6
13127a03133
1493db3c98
155add0900
hex3a56502e

978735150 has 60 divisors (see below), whose sum is σ = 2719444992. Its totient is φ = 260994960.

The previous prime is 978735143. The next prime is 978735157. The reversal of 978735150 is 51537879.

It is an interprime number because it is at equal distance from previous prime (978735143) and next prime (978735157).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 978735096 and 978735105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978735157) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 116782 + ... + 124881.

Almost surely, 2978735150 is an apocalyptic number.

978735150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

978735150 is an abundant number, since it is smaller than the sum of its proper divisors (1740709842).

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

978735150 is a wasteful number, since it uses less digits than its factorization.

978735150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241687 (or 241673 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The square root of 978735150 is about 31284.7430866868. The cubic root of 978735150 is about 992.8608707878.

The spelling of 978735150 in words is "nine hundred seventy-eight million, seven hundred thirty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 4050 241663 483326 724989 1208315 1449978 2174967 2416630 3624945 4349934 6041575 6524901 7249890 10874835 12083150 13049802 18124725 19574703 21749670 32624505 36249450 39149406 54374175 65249010 97873515 108748350 163122525 195747030 326245050 489367575 978735150