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119484144 = 24321383769
BaseRepresentation
bin1110001111100…
…10111011110000
322022211102102200
413013302323300
5221041443034
615504543200
72650412163
oct707627360
9268742380
10119484144
116149a22a
1234021b00
131b9a61a0
1411c23ada
15a752a99
hex71f2ef0

119484144 has 120 divisors (see below), whose sum is σ = 364924560. Its totient is φ = 36274176.

The previous prime is 119484119. The next prime is 119484161. The reversal of 119484144 is 441484911.

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 = 119484099 and 119484108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154992 + ... + 155760.

It is an arithmetic number, because the mean of its divisors is an integer number (3041038).

Almost surely, 2119484144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119484144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182462280).

119484144 is an abundant number, since it is smaller than the sum of its proper divisors (245440416).

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

119484144 is a wasteful number, since it uses less digits than its factorization.

119484144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 870 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 119484144 is about 10930.8802939196. The cubic root of 119484144 is about 492.5346161691.

The spelling of 119484144 in words is "one hundred nineteen million, four hundred eighty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 83 104 117 144 156 166 208 234 249 312 332 468 498 624 664 747 769 936 996 1079 1328 1494 1538 1872 1992 2158 2307 2988 3076 3237 3984 4316 4614 5976 6152 6474 6921 8632 9228 9711 9997 11952 12304 12948 13842 17264 18456 19422 19994 25896 27684 29991 36912 38844 39988 51792 55368 59982 63827 77688 79976 89973 110736 119964 127654 155376 159952 179946 191481 239928 255308 359892 382962 479856 510616 574443 719784 765924 829751 1021232 1148886 1439568 1531848 1659502 2297772 2489253 3063696 3319004 4595544 4978506 6638008 7467759 9191088 9957012 13276016 14935518 19914024 29871036 39828048 59742072 119484144