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146615994 = 235771607
BaseRepresentation
bin10001011110100…
…10111010111010
3101012212212100000
420233102322322
5300013202434
622314253430
73430133610
oct1057227272
9335785300
10146615994
1175840848
1241127276
13244b5835
14156876b0
15cd11b99
hex8bd2eba

146615994 has 96 divisors (see below), whose sum is σ = 382427136. Its totient is φ = 41232240.

The previous prime is 146615981. The next prime is 146616049. The reversal of 146615994 is 499516641.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241239 + ... + 241845.

It is an arithmetic number, because the mean of its divisors is an integer number (3983616).

Almost surely, 2146615994 is an apocalyptic number.

146615994 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146615994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191213568).

146615994 is an abundant number, since it is smaller than the sum of its proper divisors (235811142).

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

146615994 is an equidigital number, since it uses as much as digits as its factorization.

146615994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 690 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 146615994 is about 12108.5091567872. The cubic root of 146615994 is about 527.3032519478.

The spelling of 146615994 in words is "one hundred forty-six million, six hundred fifteen thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 71 81 126 142 162 189 213 243 378 426 486 497 567 607 639 994 1134 1214 1278 1491 1701 1821 1917 2982 3402 3642 3834 4249 4473 5463 5751 8498 8946 10926 11502 12747 13419 16389 17253 25494 26838 32778 34506 38241 40257 43097 49167 76482 80514 86194 98334 114723 120771 129291 147501 229446 241542 258582 295002 301679 344169 387873 603358 688338 775746 905037 1032507 1163619 1810074 2065014 2327238 2715111 3490857 5430222 6981714 8145333 10472571 16290666 20945142 24435999 48871998 73307997 146615994