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146410740 = 22345712911
BaseRepresentation
bin10001011101000…
…00110011110100
3101012111102210000
420232200303310
5244440120430
622310031300
73425320320
oct1056406364
9335442700
10146410740
1175710613
1241048530
1324443298
1415632980
15ccc0e60
hex8ba0cf4

146410740 has 120 divisors (see below), whose sum is σ = 524950272. Its totient is φ = 33462720.

The previous prime is 146410729. The next prime is 146410753. The reversal of 146410740 is 47014641.

146410740 is a `hidden beast` number, since 14 + 641 + 0 + 7 + 4 + 0 = 666.

It is a super-2 number, since 2×1464107402 = 42872209574695200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 4885 + ... + 17795.

Almost surely, 2146410740 is an apocalyptic number.

146410740 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 146410740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262475136).

146410740 is an abundant number, since it is smaller than the sum of its proper divisors (378539532).

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

146410740 is a wasteful number, since it uses less digits than its factorization.

146410740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12939 (or 12928 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 146410740 is about 12100.0305784738. The cubic root of 146410740 is about 527.0570722420.

The spelling of 146410740 in words is "one hundred forty-six million, four hundred ten thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 12911 25822 38733 51644 64555 77466 90377 116199 129110 154932 180754 193665 232398 258220 271131 348597 361508 387330 451885 464796 542262 580995 697194 774660 813393 903770 1045791 1084524 1161990 1355655 1394388 1626786 1742985 1807540 2091582 2323980 2440179 2711310 3253572 3485970 4066965 4183164 4880358 5228955 5422620 6971940 7320537 8133930 9760716 10457910 12200895 14641074 16267860 20915820 24401790 29282148 36602685 48803580 73205370 146410740