Search a number
-
+
117154000 = 2453193083
BaseRepresentation
bin1101111101110…
…10000011010000
322011110001002001
412332322003100
5214442412000
615343003344
72621535565
oct676720320
9264401061
10117154000
1160148597
1233299554
131b36b6c2
14117b886c
15a44246a
hex6fba0d0

117154000 has 80 divisors (see below), whose sum is σ = 298284480. Its totient is φ = 44380800.

The previous prime is 117153983. The next prime is 117154001. The reversal of 117154000 is 451711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117154001) 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, 36459 + ... + 39541.

It is an arithmetic number, because the mean of its divisors is an integer number (3728556).

Almost surely, 2117154000 is an apocalyptic number.

117154000 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 117154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149142240).

117154000 is an abundant number, since it is smaller than the sum of its proper divisors (181130480).

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

117154000 is a wasteful number, since it uses less digits than its factorization.

117154000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 117154000 is about 10823.7701379880. The cubic root of 117154000 is about 489.3118202786.

The spelling of 117154000 in words is "one hundred seventeen million, one hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3083 3800 4750 6166 7600 9500 12332 15415 19000 24664 30830 38000 49328 58577 61660 77075 117154 123320 154150 234308 246640 292885 308300 385375 468616 585770 616600 770750 937232 1171540 1233200 1464425 1541500 2343080 2928850 3083000 4686160 5857700 6166000 7322125 11715400 14644250 23430800 29288500 58577000 117154000