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146430240 = 25351127733
BaseRepresentation
bin10001011101001…
…01100100100000
3101012112102112020
420232211210200
5244441231430
622310301440
73425431215
oct1056454440
9335472466
10146430240
1175724230
1241057880
132444c118
1415639b0c
15ccc6b10
hex8ba5920

146430240 has 96 divisors (see below), whose sum is σ = 503205696. Its totient is φ = 35496960.

The previous prime is 146430227. The next prime is 146430241. The reversal of 146430240 is 42034641.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 146430240.

It is not an unprimeable number, because it can be changed into a prime (146430241) 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 15 ways as a sum of consecutive naturals, for example, 8587 + ... + 19146.

It is an arithmetic number, because the mean of its divisors is an integer number (5241726).

Almost surely, 2146430240 is an apocalyptic number.

146430240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146430240 is an abundant number, since it is smaller than the sum of its proper divisors (356775456).

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

146430240 is a wasteful number, since it uses less digits than its factorization.

146430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27762 (or 27754 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 146430240 is about 12100.8363347332. The cubic root of 146430240 is about 527.0804702447.

Adding to 146430240 its reverse (42034641), we get a palindrome (188464881).

The spelling of 146430240 in words is "one hundred forty-six million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 27733 55466 83199 110932 138665 166398 221864 277330 305063 332796 415995 443728 554660 610126 665592 831990 887456 915189 1109320 1220252 1331184 1525315 1663980 1830378 2218640 2440504 2662368 3050630 3327960 3660756 4437280 4575945 4881008 6101260 6655920 7321512 9151890 9762016 12202520 13311840 14643024 18303780 24405040 29286048 36607560 48810080 73215120 146430240