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149893470 = 23351961479
BaseRepresentation
bin10001110111100…
…11000101011110
3101110001101012000
420323303011132
5301333042340
622512423130
73500034126
oct1073630536
9343041160
10149893470
117767a201
1242247aa6
132509257c
1415c9bc86
15d25cd30
hex8ef315e

149893470 has 128 divisors (see below), whose sum is σ = 428544000. Its totient is φ = 37169280.

The previous prime is 149893441. The next prime is 149893501. The reversal of 149893470 is 74398941.

149893470 is a `hidden beast` number, since 1 + 4 + 98 + 93 + 470 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 312691 + ... + 313169.

It is an arithmetic number, because the mean of its divisors is an integer number (3348000).

Almost surely, 2149893470 is an apocalyptic number.

149893470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149893470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214272000).

149893470 is an abundant number, since it is smaller than the sum of its proper divisors (278650530).

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

149893470 is a wasteful number, since it uses less digits than its factorization.

149893470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 149893470 is about 12243.0988724260. The cubic root of 149893470 is about 531.2034714498.

The spelling of 149893470 in words is "one hundred forty-nine million, eight hundred ninety-three thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 61 90 95 114 122 135 171 183 190 270 285 305 342 366 479 513 549 570 610 855 915 958 1026 1098 1159 1437 1647 1710 1830 2318 2395 2565 2745 2874 3294 3477 4311 4790 5130 5490 5795 6954 7185 8235 8622 9101 10431 11590 12933 14370 16470 17385 18202 20862 21555 25866 27303 29219 31293 34770 43110 45505 52155 54606 58438 62586 64665 81909 87657 91010 104310 129330 136515 146095 156465 163818 175314 245727 262971 273030 292190 312930 409545 438285 491454 525942 555161 788913 819090 876570 1110322 1228635 1314855 1577826 1665483 2457270 2629710 2775805 3330966 3944565 4996449 5551610 7889130 8327415 9992898 14989347 16654830 24982245 29978694 49964490 74946735 149893470