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119107352 = 237131979109
BaseRepresentation
bin1110001100101…
…10111100011000
322022010021120102
413012112330120
5220442413402
615452514532
72644252520
oct706267430
9268107512
10119107352
1161262131
1233a7ba48
131b8a3830
1411b66680
15a6cb102
hex7196f18

119107352 has 128 divisors (see below), whose sum is σ = 295680000. Its totient is φ = 43670016.

The previous prime is 119107327. The next prime is 119107397. The reversal of 119107352 is 253701911.

It is a super-2 number, since 2×1191073522 = 28373122600903808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1092674 + ... + 1092782.

It is an arithmetic number, because the mean of its divisors is an integer number (2310000).

Almost surely, 2119107352 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 119107352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147840000).

119107352 is an abundant number, since it is smaller than the sum of its proper divisors (176572648).

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

119107352 is a wasteful number, since it uses less digits than its factorization.

119107352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 119107352 is about 10913.6314762777. The cubic root of 119107352 is about 492.0163367347.

The spelling of 119107352 in words is "one hundred nineteen million, one hundred seven thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 79 91 104 109 133 152 158 182 218 247 266 316 364 436 494 532 553 632 728 763 872 988 1027 1064 1106 1417 1501 1526 1729 1976 2054 2071 2212 2834 3002 3052 3458 4108 4142 4424 5668 6004 6104 6916 7189 8216 8284 8611 9919 10507 11336 12008 13832 14378 14497 16568 17222 19513 19838 21014 26923 28756 28994 34444 39026 39676 42028 53846 57512 57988 60277 68888 78052 79352 84056 107692 111943 115976 120554 136591 156104 163609 188461 215384 223886 241108 273182 327218 376922 447772 482216 546364 654436 753844 783601 895544 1092728 1145263 1308872 1507688 1567202 2126917 2290526 3134404 4253834 4581052 6268808 8507668 9162104 14888419 17015336 29776838 59553676 119107352