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146731480 = 23572431741
BaseRepresentation
bin10001011111011…
…11000111011000
3101020002201202021
420233233013120
5300030401410
622320544224
73431124400
oct1057570730
9336081667
10146731480
117590a595
1241182074
132452627c
14156b7800
15cd35eda
hex8bef1d8

146731480 has 96 divisors (see below), whose sum is σ = 393204240. Its totient is φ = 49109760.

The previous prime is 146731477. The next prime is 146731483. The reversal of 146731480 is 84137641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (146731477) and next prime (146731483).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146731483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83410 + ... + 85150.

Almost surely, 2146731480 is an apocalyptic number.

146731480 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 146731480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196602120).

146731480 is an abundant number, since it is smaller than the sum of its proper divisors (246472760).

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

146731480 is a wasteful number, since it uses less digits than its factorization.

146731480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 146731480 is about 12113.2770132611. The cubic root of 146731480 is about 527.4416637719.

The spelling of 146731480 in words is "one hundred forty-six million, seven hundred thirty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 49 56 70 86 98 140 172 196 215 245 280 301 344 392 430 490 602 860 980 1204 1505 1720 1741 1960 2107 2408 3010 3482 4214 6020 6964 8428 8705 10535 12040 12187 13928 16856 17410 21070 24374 34820 42140 48748 60935 69640 74863 84280 85309 97496 121870 149726 170618 243740 299452 341236 374315 426545 487480 524041 598904 682472 748630 853090 1048082 1497260 1706180 2096164 2620205 2994520 3412360 3668287 4192328 5240410 7336574 10480820 14673148 18341435 20961640 29346296 36682870 73365740 146731480