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151246830 = 23572313319
BaseRepresentation
bin10010000001111…
…01011111101110
3101112121010122110
421000331133232
5302204344310
623001424450
73514401600
oct1100753756
9345533573
10151246830
1178413a89
124279b126
1325447587
1416131170
15d428d20
hex903d7ee

151246830 has 96 divisors (see below), whose sum is σ = 436008960. Its totient is φ = 33445440.

The previous prime is 151246819. The next prime is 151246847. The reversal of 151246830 is 38642151.

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

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, 43911 + ... + 47229.

It is an arithmetic number, because the mean of its divisors is an integer number (4541760).

Almost surely, 2151246830 is an apocalyptic number.

151246830 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 151246830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218004480).

151246830 is an abundant number, since it is smaller than the sum of its proper divisors (284762130).

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

151246830 is a wasteful number, since it uses less digits than its factorization.

151246830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 151246830 is about 12298.2449967465. The cubic root of 151246830 is about 532.7973960883.

Adding to 151246830 its reverse (38642151), we get a palindrome (189888981).

It can be divided in two parts, 151246 and 830, that added together give a triangular number (152076 = T551).

The spelling of 151246830 in words is "one hundred fifty-one million, two hundred forty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 155 186 210 217 245 294 310 434 465 490 651 735 930 1085 1302 1470 1519 2170 3038 3255 3319 4557 6510 6638 7595 9114 9957 15190 16595 19914 22785 23233 33190 45570 46466 49785 69699 99570 102889 116165 139398 162631 205778 232330 308667 325262 348495 487893 514445 617334 696990 720223 813155 975786 1028890 1440446 1543335 1626310 2160669 2439465 3086670 3601115 4321338 4878930 5041561 7202230 10083122 10803345 15124683 21606690 25207805 30249366 50415610 75623415 151246830