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119021320 = 235111923619
BaseRepresentation
bin1110001100000…
…01111100001000
322021221220120001
413012001330020
5220432140240
615451012344
72643443635
oct706017410
9267856501
10119021320
1161203530
1233a3a0b4
131b873622
1411b4318c
15a6b089a
hex7181f08

119021320 has 128 divisors (see below), whose sum is σ = 321408000. Its totient is φ = 39156480.

The previous prime is 119021281. The next prime is 119021327. The reversal of 119021320 is 23120911.

It is a super-2 number, since 2×1190213202 = 28332149229084800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (119021327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191971 + ... + 192589.

It is an arithmetic number, because the mean of its divisors is an integer number (2511000).

Almost surely, 2119021320 is an apocalyptic number.

119021320 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 119021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

119021320 is an abundant number, since it is smaller than the sum of its proper divisors (202386680).

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

119021320 is a wasteful number, since it uses less digits than its factorization.

119021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 119021320 is about 10909.6892714687. The cubic root of 119021320 is about 491.8978460219.

The spelling of 119021320 in words is "one hundred nineteen million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 23 38 40 44 46 55 76 88 92 95 110 115 152 184 190 209 220 230 253 380 418 437 440 460 506 619 760 836 874 920 1012 1045 1238 1265 1672 1748 2024 2090 2185 2476 2530 3095 3496 4180 4370 4807 4952 5060 6190 6809 8360 8740 9614 10120 11761 12380 13618 14237 17480 19228 23522 24035 24760 27236 28474 34045 38456 47044 48070 54472 56948 58805 68090 71185 94088 96140 113896 117610 129371 136180 142370 156607 192280 235220 258742 270503 272360 284740 313214 470440 517484 541006 569480 626428 646855 783035 1034968 1082012 1252856 1293710 1352515 1566070 2164024 2587420 2705030 2975533 3132140 5174840 5410060 5951066 6264280 10820120 11902132 14877665 23804264 29755330 59510660 119021320