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145933500 = 22353271359
BaseRepresentation
bin10001011001011…
…00010010111100
3101011121012010110
420230230102330
5244324333000
622251510020
73421262046
oct1054542274
9334535113
10145933500
1175414aa9
1240a58310
1324306cab
141554aa96
15cc29850
hex8b2c4bc

145933500 has 96 divisors (see below), whose sum is σ = 427714560. Its totient is φ = 38664000.

The previous prime is 145933499. The next prime is 145933507. The reversal of 145933500 is 5339541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145933507) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 406321 + ... + 406679.

It is an arithmetic number, because the mean of its divisors is an integer number (4455360).

Almost surely, 2145933500 is an apocalyptic number.

145933500 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 145933500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857280).

145933500 is an abundant number, since it is smaller than the sum of its proper divisors (281781060).

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

145933500 is a wasteful number, since it uses less digits than its factorization.

145933500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 145933500 is about 12080.2938705977. The cubic root of 145933500 is about 526.4837843544.

The spelling of 145933500 in words is "one hundred forty-five million, nine hundred thirty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 271 300 359 375 500 542 718 750 813 1077 1084 1355 1436 1500 1626 1795 2154 2710 3252 3590 4065 4308 5385 5420 6775 7180 8130 8975 10770 13550 16260 17950 20325 21540 26925 27100 33875 35900 40650 44875 53850 67750 81300 89750 97289 101625 107700 134625 135500 179500 194578 203250 269250 291867 389156 406500 486445 538500 583734 972890 1167468 1459335 1945780 2432225 2918670 4864450 5837340 7296675 9728900 12161125 14593350 24322250 29186700 36483375 48644500 72966750 145933500