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119419728 = 2436771523
BaseRepresentation
bin1110001111000…
…11001101010000
322022201011001220
413013203031100
5221032412403
615503325040
72650023321
oct707431520
9268634056
10119419728
116145589a
1233bb0780
131b982a7c
1411c08448
15a73d953
hex71e3350

119419728 has 80 divisors (see below), whose sum is σ = 318122496. Its totient is φ = 38586240.

The previous prime is 119419711. The next prime is 119419763. The reversal of 119419728 is 827914911.

It is a super-2 number, since 2×1194197282 = 28522142871187968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (36288) is a multiple of the sum of its prime factors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 119419728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228075 + ... + 228597.

Almost surely, 2119419728 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 119419728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159061248).

119419728 is an abundant number, since it is smaller than the sum of its proper divisors (198702768).

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

119419728 is a wasteful number, since it uses less digits than its factorization.

119419728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 666 counting only the distinct ones).

The product of its digits is 36288, while the sum is 42.

The square root of 119419728 is about 10927.9333819346. The cubic root of 119419728 is about 492.4460889051.

The spelling of 119419728 in words is "one hundred nineteen million, four hundred nineteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 71 134 142 201 213 268 284 402 426 523 536 568 804 852 1046 1072 1136 1569 1608 1704 2092 3138 3216 3408 4184 4757 6276 8368 9514 12552 14271 19028 25104 28542 35041 37133 38056 57084 70082 74266 76112 105123 111399 114168 140164 148532 210246 222798 228336 280328 297064 420492 445596 560656 594128 840984 891192 1681968 1782384 2487911 4975822 7463733 9951644 14927466 19903288 29854932 39806576 59709864 119419728