Search a number
-
+
146140640 = 25559113137
BaseRepresentation
bin10001011010111…
…10110111100000
3101011222201021022
420231132313200
5244403000030
622300145012
73423114002
oct1055366740
9334881238
10146140640
1175546698
1240b38168
132437a369
14155a2372
15cc6ade5
hex8b5ede0

146140640 has 96 divisors (see below), whose sum is σ = 356801760. Its totient is φ = 56541184.

The previous prime is 146140607. The next prime is 146140651. The reversal of 146140640 is 46041641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066652 + ... + 1066788.

It is an arithmetic number, because the mean of its divisors is an integer number (3716685).

Almost surely, 2146140640 is an apocalyptic number.

146140640 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 146140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178400880).

146140640 is an abundant number, since it is smaller than the sum of its proper divisors (210661120).

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

146140640 is a wasteful number, since it uses less digits than its factorization.

146140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 146140640 is about 12088.8642973606. The cubic root of 146140640 is about 526.7327660100.

The spelling of 146140640 in words is "one hundred forty-six million, one hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 113 118 137 160 226 236 274 295 452 472 548 565 590 685 904 944 1096 1130 1180 1370 1808 1888 2192 2260 2360 2740 3616 4384 4520 4720 5480 6667 8083 9040 9440 10960 13334 15481 16166 18080 21920 26668 30962 32332 33335 40415 53336 61924 64664 66670 77405 80830 106672 123848 129328 133340 154810 161660 213344 247696 258656 266680 309620 323320 495392 533360 619240 646640 913379 1066720 1238480 1293280 1826758 2476960 3653516 4566895 7307032 9133790 14614064 18267580 29228128 36535160 73070320 146140640